Finding the Fourth Proportional to 742.89, 1,113.84 and 498.72

Step by Step Solution

1. Step 1: Write the proportion equation
   742.89 : 1,113.84 = 498.72 : x
2. Step 2: Convert to fraction form
   742.89/1,113.84 = 498.72/x
3. Step 3: Cross multiply
   742.89x = 1,113.84 × 498.72
4. Step 4: Simplify right side
   742.89x = 555,494.28
5. Step 5: Solve for x
   x = 555,494.28/742.89
6. Step 6: Final answer
   x = 747.75