Finding the Fourth Proportional to 10,296.38, 14,209.07 and 5,580.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.38 : 14,209.07 = 5,580.69 : x
2. Step 2: Convert to fraction form
   10,296.38/14,209.07 = 5,580.69/x
3. Step 3: Cross multiply
   10,296.38x = 14,209.07 × 5,580.69
4. Step 4: Simplify right side
   10,296.38x = 79,296,386.95
5. Step 5: Solve for x
   x = 79,296,386.95/10,296.38
6. Step 6: Final answer
   x = 7,701.39