Finding the Fourth Proportional to 1,160.86, 1,601.86 and 688.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.86 : 1,601.86 = 688.78 : x
2. Step 2: Convert to fraction form
   1,160.86/1,601.86 = 688.78/x
3. Step 3: Cross multiply
   1,160.86x = 1,601.86 × 688.78
4. Step 4: Simplify right side
   1,160.86x = 1,103,329.13
5. Step 5: Solve for x
   x = 1,103,329.13/1,160.86
6. Step 6: Final answer
   x = 950.44