Finding the Fourth Proportional to 10,062.92, 13,885.34 and 5,586.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.92 : 13,885.34 = 5,586.71 : x
2. Step 2: Convert to fraction form
   10,062.92/13,885.34 = 5,586.71/x
3. Step 3: Cross multiply
   10,062.92x = 13,885.34 × 5,586.71
4. Step 4: Simplify right side
   10,062.92x = 77,573,301.90
5. Step 5: Solve for x
   x = 77,573,301.90/10,062.92
6. Step 6: Final answer
   x = 7,708.83