Finding the Fourth Proportional to 10,291.38, 14,202.71 and 5,815.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.38 : 14,202.71 = 5,815.01 : x
2. Step 2: Convert to fraction form
   10,291.38/14,202.71 = 5,815.01/x
3. Step 3: Cross multiply
   10,291.38x = 14,202.71 × 5,815.01
4. Step 4: Simplify right side
   10,291.38x = 82,588,900.68
5. Step 5: Solve for x
   x = 82,588,900.68/10,291.38
6. Step 6: Final answer
   x = 8,025.06