Finding the Fourth Proportional to 10,296.88, 14,209.76 and 5,581.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.88 : 14,209.76 = 5,581.20 : x
2. Step 2: Convert to fraction form
   10,296.88/14,209.76 = 5,581.20/x
3. Step 3: Cross multiply
   10,296.88x = 14,209.76 × 5,581.20
4. Step 4: Simplify right side
   10,296.88x = 79,307,512.51
5. Step 5: Solve for x
   x = 79,307,512.51/10,296.88
6. Step 6: Final answer
   x = 7,702.09