Finding the Fourth Proportional to 13,978.96, 19,287.14 and 9,725.24

Step by Step Solution

1. Step 1: Write the proportion equation
   13,978.96 : 19,287.14 = 9,725.24 : x
2. Step 2: Convert to fraction form
   13,978.96/19,287.14 = 9,725.24/x
3. Step 3: Cross multiply
   13,978.96x = 19,287.14 × 9,725.24
4. Step 4: Simplify right side
   13,978.96x = 187,572,065.01
5. Step 5: Solve for x
   x = 187,572,065.01/13,978.96
6. Step 6: Final answer
   x = 13,418.17