Finding the Fourth Proportional to 10,025.50, 13,834.99 and 5,549.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.50 : 13,834.99 = 5,549.25 : x
2. Step 2: Convert to fraction form
   10,025.50/13,834.99 = 5,549.25/x
3. Step 3: Cross multiply
   10,025.50x = 13,834.99 × 5,549.25
4. Step 4: Simplify right side
   10,025.50x = 76,773,818.26
5. Step 5: Solve for x
   x = 76,773,818.26/10,025.50
6. Step 6: Final answer
   x = 7,657.85