Finding the Fourth Proportional to 10,025.68, 13,834.79 and 5,549.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.68 : 13,834.79 = 5,549.15 : x
2. Step 2: Convert to fraction form
   10,025.68/13,834.79 = 5,549.15/x
3. Step 3: Cross multiply
   10,025.68x = 13,834.79 × 5,549.15
4. Step 4: Simplify right side
   10,025.68x = 76,771,324.93
5. Step 5: Solve for x
   x = 76,771,324.93/10,025.68
6. Step 6: Final answer
   x = 7,657.47