Finding the Fourth Proportional to 10,162.71, 14,022.86 and 5,971.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.71 : 14,022.86 = 5,971.77 : x
2. Step 2: Convert to fraction form
   10,162.71/14,022.86 = 5,971.77/x
3. Step 3: Cross multiply
   10,162.71x = 14,022.86 × 5,971.77
4. Step 4: Simplify right side
   10,162.71x = 83,741,264.80
5. Step 5: Solve for x
   x = 83,741,264.80/10,162.71
6. Step 6: Final answer
   x = 8,240.05