Finding the Fourth Proportional to 1,531.31, 2,113.25 and 832.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,531.31 : 2,113.25 = 832.69 : x
2. Step 2: Convert to fraction form
   1,531.31/2,113.25 = 832.69/x
3. Step 3: Cross multiply
   1,531.31x = 2,113.25 × 832.69
4. Step 4: Simplify right side
   1,531.31x = 1,759,672.70
5. Step 5: Solve for x
   x = 1,759,672.70/1,531.31
6. Step 6: Final answer
   x = 1,149.13