Finding the Fourth Proportional to 1,538.53, 2,308.31 and 498.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.53 : 2,308.31 = 498.57 : x
2. Step 2: Convert to fraction form
   1,538.53/2,308.31 = 498.57/x
3. Step 3: Cross multiply
   1,538.53x = 2,308.31 × 498.57
4. Step 4: Simplify right side
   1,538.53x = 1,150,848.78
5. Step 5: Solve for x
   x = 1,150,848.78/1,538.53
6. Step 6: Final answer
   x = 748.02