Finding the Fourth Proportional to 729,856.86, 1,007,200.50 and 407,564.34

Step by Step Solution

1. Step 1: Write the proportion equation
   729,856.86 : 1,007,200.50 = 407,564.34 : x
2. Step 2: Convert to fraction form
   729,856.86/1,007,200.50 = 407,564.34/x
3. Step 3: Cross multiply
   729,856.86x = 1,007,200.50 × 407,564.34
4. Step 4: Simplify right side
   729,856.86x = 410,499,007,030.17
5. Step 5: Solve for x
   x = 410,499,007,030.17/729,856.86
6. Step 6: Final answer
   x = 562,437.69