Finding the Fourth Proportional to 1,160.56, 1,601.64 and 688.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.56 : 1,601.64 = 688.74 : x
2. Step 2: Convert to fraction form
   1,160.56/1,601.64 = 688.74/x
3. Step 3: Cross multiply
   1,160.56x = 1,601.64 × 688.74
4. Step 4: Simplify right side
   1,160.56x = 1,103,105.53
5. Step 5: Solve for x
   x = 1,103,105.53/1,160.56
6. Step 6: Final answer
   x = 950.49