Finding the Fourth Proportional to 1,156.28, 1,734.72 and 498.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.28 : 1,734.72 = 498.35 : x
2. Step 2: Convert to fraction form
   1,156.28/1,734.72 = 498.35/x
3. Step 3: Cross multiply
   1,156.28x = 1,734.72 × 498.35
4. Step 4: Simplify right side
   1,156.28x = 864,500.18
5. Step 5: Solve for x
   x = 864,500.18/1,156.28
6. Step 6: Final answer
   x = 747.66