Finding the Fourth Proportional to 10,296.54, 14,209.29 and 5,580.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.54 : 14,209.29 = 5,580.81 : x
2. Step 2: Convert to fraction form
   10,296.54/14,209.29 = 5,580.81/x
3. Step 3: Cross multiply
   10,296.54x = 14,209.29 × 5,580.81
4. Step 4: Simplify right side
   10,296.54x = 79,299,347.72
5. Step 5: Solve for x
   x = 79,299,347.72/10,296.54
6. Step 6: Final answer
   x = 7,701.55