Finding the Fourth Proportional to 2,355.86, 3,533.06 and 816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,355.86 : 3,533.06 = 816.50 : x
2. Step 2: Convert to fraction form
   2,355.86/3,533.06 = 816.50/x
3. Step 3: Cross multiply
   2,355.86x = 3,533.06 × 816.50
4. Step 4: Simplify right side
   2,355.86x = 2,884,743.49
5. Step 5: Solve for x
   x = 2,884,743.49/2,355.86
6. Step 6: Final answer
   x = 1,224.50