Finding the Fourth Proportional to 746.58, 1,030.71 and 498.72

Step by Step Solution

1. Step 1: Write the proportion equation
   746.58 : 1,030.71 = 498.72 : x
2. Step 2: Convert to fraction form
   746.58/1,030.71 = 498.72/x
3. Step 3: Cross multiply
   746.58x = 1,030.71 × 498.72
4. Step 4: Simplify right side
   746.58x = 514,033.20
5. Step 5: Solve for x
   x = 514,033.20/746.58
6. Step 6: Final answer
   x = 688.52