Finding the Fourth Proportional to 1,153.64, 1,592.06 and 629.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.64 : 1,592.06 = 629.69 : x
2. Step 2: Convert to fraction form
   1,153.64/1,592.06 = 629.69/x
3. Step 3: Cross multiply
   1,153.64x = 1,592.06 × 629.69
4. Step 4: Simplify right side
   1,153.64x = 1,002,493.15
5. Step 5: Solve for x
   x = 1,002,493.15/1,153.64
6. Step 6: Final answer
   x = 868.99