Finding the Fourth Proportional to 1,538.34, 2,307.78 and 498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.34 : 2,307.78 = 498.25 : x
2. Step 2: Convert to fraction form
   1,538.34/2,307.78 = 498.25/x
3. Step 3: Cross multiply
   1,538.34x = 2,307.78 × 498.25
4. Step 4: Simplify right side
   1,538.34x = 1,149,839.85
5. Step 5: Solve for x
   x = 1,149,839.85/1,538.34
6. Step 6: Final answer
   x = 747.46