Finding the Fourth Proportional to 10,296.10, 14,208.48 and 5,580.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.10 : 14,208.48 = 5,580.34 : x
2. Step 2: Convert to fraction form
   10,296.10/14,208.48 = 5,580.34/x
3. Step 3: Cross multiply
   10,296.10x = 14,208.48 × 5,580.34
4. Step 4: Simplify right side
   10,296.10x = 79,288,149.28
5. Step 5: Solve for x
   x = 79,288,149.28/10,296.10
6. Step 6: Final answer
   x = 7,700.79