Finding the Fourth Proportional to 1,062.64, 1,466.76 and 748.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.64 : 1,466.76 = 748.72 : x
2. Step 2: Convert to fraction form
   1,062.64/1,466.76 = 748.72/x
3. Step 3: Cross multiply
   1,062.64x = 1,466.76 × 748.72
4. Step 4: Simplify right side
   1,062.64x = 1,098,192.55
5. Step 5: Solve for x
   x = 1,098,192.55/1,062.64
6. Step 6: Final answer
   x = 1,033.46