Finding the Fourth Proportional to 1,152.56, 1,590.54 and 686.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 1,590.54 = 686.81 : x
2. Step 2: Convert to fraction form
   1,152.56/1,590.54 = 686.81/x
3. Step 3: Cross multiply
   1,152.56x = 1,590.54 × 686.81
4. Step 4: Simplify right side
   1,152.56x = 1,092,400.18
5. Step 5: Solve for x
   x = 1,092,400.18/1,152.56
6. Step 6: Final answer
   x = 947.80