Finding the Fourth Proportional to 10,265.16, 14,165.94 and 5,788.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.16 : 14,165.94 = 5,788.96 : x
2. Step 2: Convert to fraction form
   10,265.16/14,165.94 = 5,788.96/x
3. Step 3: Cross multiply
   10,265.16x = 14,165.94 × 5,788.96
4. Step 4: Simplify right side
   10,265.16x = 82,006,060.02
5. Step 5: Solve for x
   x = 82,006,060.02/10,265.16
6. Step 6: Final answer
   x = 7,988.78