Finding the Fourth Proportional to 10,025.74, 13,834.60 and 5,549.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.74 : 13,834.60 = 5,549.38 : x
2. Step 2: Convert to fraction form
   10,025.74/13,834.60 = 5,549.38/x
3. Step 3: Cross multiply
   10,025.74x = 13,834.60 × 5,549.38
4. Step 4: Simplify right side
   10,025.74x = 76,773,452.55
5. Step 5: Solve for x
   x = 76,773,452.55/10,025.74
6. Step 6: Final answer
   x = 7,657.63