Finding the Fourth Proportional to 1,156.71, 1,596.13 and 684.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.71 : 1,596.13 = 684.78 : x
2. Step 2: Convert to fraction form
   1,156.71/1,596.13 = 684.78/x
3. Step 3: Cross multiply
   1,156.71x = 1,596.13 × 684.78
4. Step 4: Simplify right side
   1,156.71x = 1,092,997.90
5. Step 5: Solve for x
   x = 1,092,997.90/1,156.71
6. Step 6: Final answer
   x = 944.92