Finding the Fourth Proportional to 1,114.52, 1,670.64 and 498.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.52 : 1,670.64 = 498.52 : x
2. Step 2: Convert to fraction form
   1,114.52/1,670.64 = 498.52/x
3. Step 3: Cross multiply
   1,114.52x = 1,670.64 × 498.52
4. Step 4: Simplify right side
   1,114.52x = 832,847.45
5. Step 5: Solve for x
   x = 832,847.45/1,114.52
6. Step 6: Final answer
   x = 747.27