Finding the Fourth Proportional to 1,538.39, 2,307.83 and 498.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.39 : 2,307.83 = 498.08 : x
2. Step 2: Convert to fraction form
   1,538.39/2,307.83 = 498.08/x
3. Step 3: Cross multiply
   1,538.39x = 2,307.83 × 498.08
4. Step 4: Simplify right side
   1,538.39x = 1,149,487.25
5. Step 5: Solve for x
   x = 1,149,487.25/1,538.39
6. Step 6: Final answer
   x = 747.20