Finding the Fourth Proportional to 10,025.75, 13,835.34 and 5,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.75 : 13,835.34 = 5,549.50 : x
2. Step 2: Convert to fraction form
   10,025.75/13,835.34 = 5,549.50/x
3. Step 3: Cross multiply
   10,025.75x = 13,835.34 × 5,549.50
4. Step 4: Simplify right side
   10,025.75x = 76,779,191.58
5. Step 5: Solve for x
   x = 76,779,191.58/10,025.75
6. Step 6: Final answer
   x = 7,658.20