Finding the Fourth Proportional to 10,498.72, 15,711.60 and 7,415.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.72 : 15,711.60 = 7,415.20 : x
2. Step 2: Convert to fraction form
   10,498.72/15,711.60 = 7,415.20/x
3. Step 3: Cross multiply
   10,498.72x = 15,711.60 × 7,415.20
4. Step 4: Simplify right side
   10,498.72x = 116,504,656.32
5. Step 5: Solve for x
   x = 116,504,656.32/10,498.72
6. Step 6: Final answer
   x = 11,097.03