Finding the Fourth Proportional to 3,098.31, 4,648.28 and 1,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,098.31 : 4,648.28 = 1,538.25 : x
2. Step 2: Convert to fraction form
   3,098.31/4,648.28 = 1,538.25/x
3. Step 3: Cross multiply
   3,098.31x = 4,648.28 × 1,538.25
4. Step 4: Simplify right side
   3,098.31x = 7,150,209.02
5. Step 5: Solve for x
   x = 7,150,209.02/3,098.31
6. Step 6: Final answer
   x = 2,307.78