Finding the Fourth Proportional to 1,155.25, 1,594.38 and 689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.25 : 1,594.38 = 689.50 : x
2. Step 2: Convert to fraction form
   1,155.25/1,594.38 = 689.50/x
3. Step 3: Cross multiply
   1,155.25x = 1,594.38 × 689.50
4. Step 4: Simplify right side
   1,155.25x = 1,099,325.01
5. Step 5: Solve for x
   x = 1,099,325.01/1,155.25
6. Step 6: Final answer
   x = 951.59