Finding the Fourth Proportional to 5,096.16, 7,643.52 and 2,498.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.16 : 7,643.52 = 2,498.40 : x
2. Step 2: Convert to fraction form
   5,096.16/7,643.52 = 2,498.40/x
3. Step 3: Cross multiply
   5,096.16x = 7,643.52 × 2,498.40
4. Step 4: Simplify right side
   5,096.16x = 19,096,570.37
5. Step 5: Solve for x
   x = 19,096,570.37/5,096.16
6. Step 6: Final answer
   x = 3,747.25