Finding the Fourth Proportional to 826.52, 1,142.34 and 732.56

Step by Step Solution

1. Step 1: Write the proportion equation
   826.52 : 1,142.34 = 732.56 : x
2. Step 2: Convert to fraction form
   826.52/1,142.34 = 732.56/x
3. Step 3: Cross multiply
   826.52x = 1,142.34 × 732.56
4. Step 4: Simplify right side
   826.52x = 836,832.59
5. Step 5: Solve for x
   x = 836,832.59/826.52
6. Step 6: Final answer
   x = 1,012.48