Finding the Fourth Proportional to 13,002.97, 19,496.93 and 5,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.97 : 19,496.93 = 5,096.25 : x
2. Step 2: Convert to fraction form
   13,002.97/19,496.93 = 5,096.25/x
3. Step 3: Cross multiply
   13,002.97x = 19,496.93 × 5,096.25
4. Step 4: Simplify right side
   13,002.97x = 99,361,119.29
5. Step 5: Solve for x
   x = 99,361,119.29/13,002.97
6. Step 6: Final answer
   x = 7,641.42