Finding the Fourth Proportional to 10,296.20, 14,208.73 and 5,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.20 : 14,208.73 = 5,580.50 : x
2. Step 2: Convert to fraction form
   10,296.20/14,208.73 = 5,580.50/x
3. Step 3: Cross multiply
   10,296.20x = 14,208.73 × 5,580.50
4. Step 4: Simplify right side
   10,296.20x = 79,291,732.77
5. Step 5: Solve for x
   x = 79,291,732.77/10,296.20
6. Step 6: Final answer
   x = 7,701.07