Finding the Fourth Proportional to 10,296.52, 14,209.20 and 5,580.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.52 : 14,209.20 = 5,580.82 : x
2. Step 2: Convert to fraction form
   10,296.52/14,209.20 = 5,580.82/x
3. Step 3: Cross multiply
   10,296.52x = 14,209.20 × 5,580.82
4. Step 4: Simplify right side
   10,296.52x = 79,298,987.54
5. Step 5: Solve for x
   x = 79,298,987.54/10,296.52
6. Step 6: Final answer
   x = 7,701.53