Finding the Fourth Proportional to 10,296.48, 14,209.20 and 5,580.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.48 : 14,209.20 = 5,580.72 : x
2. Step 2: Convert to fraction form
   10,296.48/14,209.20 = 5,580.72/x
3. Step 3: Cross multiply
   10,296.48x = 14,209.20 × 5,580.72
4. Step 4: Simplify right side
   10,296.48x = 79,297,566.62
5. Step 5: Solve for x
   x = 79,297,566.62/10,296.48
6. Step 6: Final answer
   x = 7,701.42