Finding the Fourth Proportional to 10,137.42, 13,989.61 and 5,661.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137.42 : 13,989.61 = 5,661.17 : x
2. Step 2: Convert to fraction form
   10,137.42/13,989.61 = 5,661.17/x
3. Step 3: Cross multiply
   10,137.42x = 13,989.61 × 5,661.17
4. Step 4: Simplify right side
   10,137.42x = 79,197,628.72
5. Step 5: Solve for x
   x = 79,197,628.72/10,137.42
6. Step 6: Final answer
   x = 7,812.40