Finding the Fourth Proportional to 1,538.24, 2,307.50 and 498.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.24 : 2,307.50 = 498.27 : x
2. Step 2: Convert to fraction form
   1,538.24/2,307.50 = 498.27/x
3. Step 3: Cross multiply
   1,538.24x = 2,307.50 × 498.27
4. Step 4: Simplify right side
   1,538.24x = 1,149,755.53
5. Step 5: Solve for x
   x = 1,149,755.53/1,538.24
6. Step 6: Final answer
   x = 747.45