Finding the Fourth Proportional to 10,264.96, 14,165.62 and 5,549.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.96 : 14,165.62 = 5,549.24 : x
2. Step 2: Convert to fraction form
   10,264.96/14,165.62 = 5,549.24/x
3. Step 3: Cross multiply
   10,264.96x = 14,165.62 × 5,549.24
4. Step 4: Simplify right side
   10,264.96x = 78,608,446.67
5. Step 5: Solve for x
   x = 78,608,446.67/10,264.96
6. Step 6: Final answer
   x = 7,657.94