Finding the Fourth Proportional to 10,656.24, 15,972.72 and 5,462.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,656.24 : 15,972.72 = 5,462.40 : x
2. Step 2: Convert to fraction form
   10,656.24/15,972.72 = 5,462.40/x
3. Step 3: Cross multiply
   10,656.24x = 15,972.72 × 5,462.40
4. Step 4: Simplify right side
   10,656.24x = 87,249,385.73
5. Step 5: Solve for x
   x = 87,249,385.73/10,656.24
6. Step 6: Final answer
   x = 8,187.63