Finding the Fourth Proportional to 10,296.89, 14,209.80 and 5,581.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.89 : 14,209.80 = 5,581.17 : x
2. Step 2: Convert to fraction form
   10,296.89/14,209.80 = 5,581.17/x
3. Step 3: Cross multiply
   10,296.89x = 14,209.80 × 5,581.17
4. Step 4: Simplify right side
   10,296.89x = 79,307,309.47
5. Step 5: Solve for x
   x = 79,307,309.47/10,296.89
6. Step 6: Final answer
   x = 7,702.07