Finding the Fourth Proportional to 1,061.42, 1,463.64 and 688.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.42 : 1,463.64 = 688.40 : x
2. Step 2: Convert to fraction form
   1,061.42/1,463.64 = 688.40/x
3. Step 3: Cross multiply
   1,061.42x = 1,463.64 × 688.40
4. Step 4: Simplify right side
   1,061.42x = 1,007,569.78
5. Step 5: Solve for x
   x = 1,007,569.78/1,061.42
6. Step 6: Final answer
   x = 949.27