Finding the Fourth Proportional to 1,154.56, 1,593.30 and 688.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.56 : 1,593.30 = 688.82 : x
2. Step 2: Convert to fraction form
   1,154.56/1,593.30 = 688.82/x
3. Step 3: Cross multiply
   1,154.56x = 1,593.30 × 688.82
4. Step 4: Simplify right side
   1,154.56x = 1,097,496.91
5. Step 5: Solve for x
   x = 1,097,496.91/1,154.56
6. Step 6: Final answer
   x = 950.58