Finding the Fourth Proportional to 10,264.86, 14,165.46 and 5,788.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.86 : 14,165.46 = 5,788.65 : x
2. Step 2: Convert to fraction form
   10,264.86/14,165.46 = 5,788.65/x
3. Step 3: Cross multiply
   10,264.86x = 14,165.46 × 5,788.65
4. Step 4: Simplify right side
   10,264.86x = 81,998,890.03
5. Step 5: Solve for x
   x = 81,998,890.03/10,264.86
6. Step 6: Final answer
   x = 7,988.31