Finding the Fourth Proportional to 10,302.38, 14,217.62 and 5,826.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.38 : 14,217.62 = 5,826.86 : x
2. Step 2: Convert to fraction form
   10,302.38/14,217.62 = 5,826.86/x
3. Step 3: Cross multiply
   10,302.38x = 14,217.62 × 5,826.86
4. Step 4: Simplify right side
   10,302.38x = 82,844,081.27
5. Step 5: Solve for x
   x = 82,844,081.27/10,302.38
6. Step 6: Final answer
   x = 8,041.26