Finding the Fourth Proportional to 10,296.25, 14,208.86 and 5,580.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.25 : 14,208.86 = 5,580.55 : x
2. Step 2: Convert to fraction form
   10,296.25/14,208.86 = 5,580.55/x
3. Step 3: Cross multiply
   10,296.25x = 14,208.86 × 5,580.55
4. Step 4: Simplify right side
   10,296.25x = 79,293,225.77
5. Step 5: Solve for x
   x = 79,293,225.77/10,296.25
6. Step 6: Final answer
   x = 7,701.18