Finding the Fourth Proportional to 10,264.59, 14,165.25 and 5,788.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.59 : 14,165.25 = 5,788.23 : x
2. Step 2: Convert to fraction form
   10,264.59/14,165.25 = 5,788.23/x
3. Step 3: Cross multiply
   10,264.59x = 14,165.25 × 5,788.23
4. Step 4: Simplify right side
   10,264.59x = 81,991,725.01
5. Step 5: Solve for x
   x = 81,991,725.01/10,264.59
6. Step 6: Final answer
   x = 7,987.82