Finding the Fourth Proportional to 1,160.96, 1,601.88 and 688.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.96 : 1,601.88 = 688.78 : x
2. Step 2: Convert to fraction form
   1,160.96/1,601.88 = 688.78/x
3. Step 3: Cross multiply
   1,160.96x = 1,601.88 × 688.78
4. Step 4: Simplify right side
   1,160.96x = 1,103,337.82
5. Step 5: Solve for x
   x = 1,103,337.82/1,160.96
6. Step 6: Final answer
   x = 950.37