Finding the Fourth Proportional to 10,132.77, 13,982.14 and 5,885.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.77 : 13,982.14 = 5,885.23 : x
2. Step 2: Convert to fraction form
   10,132.77/13,982.14 = 5,885.23/x
3. Step 3: Cross multiply
   10,132.77x = 13,982.14 × 5,885.23
4. Step 4: Simplify right side
   10,132.77x = 82,288,109.79
5. Step 5: Solve for x
   x = 82,288,109.79/10,132.77
6. Step 6: Final answer
   x = 8,120.99