Finding the Fourth Proportional to 1,405.86, 1,940.13 and 776.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.86 : 1,940.13 = 776.34 : x
2. Step 2: Convert to fraction form
   1,405.86/1,940.13 = 776.34/x
3. Step 3: Cross multiply
   1,405.86x = 1,940.13 × 776.34
4. Step 4: Simplify right side
   1,405.86x = 1,506,200.52
5. Step 5: Solve for x
   x = 1,506,200.52/1,405.86
6. Step 6: Final answer
   x = 1,071.37