Finding the Fourth Proportional to 1,111.32, 1,532.92 and 827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.32 : 1,532.92 = 827.50 : x
2. Step 2: Convert to fraction form
   1,111.32/1,532.92 = 827.50/x
3. Step 3: Cross multiply
   1,111.32x = 1,532.92 × 827.50
4. Step 4: Simplify right side
   1,111.32x = 1,268,491.30
5. Step 5: Solve for x
   x = 1,268,491.30/1,111.32
6. Step 6: Final answer
   x = 1,141.43