Finding the Fourth Proportional to 1,002.43, 1,382.02 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.43 : 1,382.02 = 766.52 : x
2. Step 2: Convert to fraction form
   1,002.43/1,382.02 = 766.52/x
3. Step 3: Cross multiply
   1,002.43x = 1,382.02 × 766.52
4. Step 4: Simplify right side
   1,002.43x = 1,059,337.14
5. Step 5: Solve for x
   x = 1,059,337.14/1,002.43
6. Step 6: Final answer
   x = 1,056.77