Finding the Fourth Proportional to 10,265.56, 14,165.49 and 5,790.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.56 : 14,165.49 = 5,790.01 : x
2. Step 2: Convert to fraction form
   10,265.56/14,165.49 = 5,790.01/x
3. Step 3: Cross multiply
   10,265.56x = 14,165.49 × 5,790.01
4. Step 4: Simplify right side
   10,265.56x = 82,018,257.93
5. Step 5: Solve for x
   x = 82,018,257.93/10,265.56
6. Step 6: Final answer
   x = 7,989.66