Finding the Fourth Proportional to 1,531.50, 2,113.47 and 832.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,531.50 : 2,113.47 = 832.88 : x
2. Step 2: Convert to fraction form
   1,531.50/2,113.47 = 832.88/x
3. Step 3: Cross multiply
   1,531.50x = 2,113.47 × 832.88
4. Step 4: Simplify right side
   1,531.50x = 1,760,256.33
5. Step 5: Solve for x
   x = 1,760,256.33/1,531.50
6. Step 6: Final answer
   x = 1,149.37