Finding the Fourth Proportional to 10,025.94, 13,834.62 and 5,549.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,025.94 : 13,834.62 = 5,549.70 : x
2. Step 2: Convert to fraction form
   10,025.94/13,834.62 = 5,549.70/x
3. Step 3: Cross multiply
   10,025.94x = 13,834.62 × 5,549.70
4. Step 4: Simplify right side
   10,025.94x = 76,777,990.61
5. Step 5: Solve for x
   x = 76,777,990.61/10,025.94
6. Step 6: Final answer
   x = 7,657.93