Finding the Fourth Proportional to 10,264.84, 14,165.22 and 5,788.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.84 : 14,165.22 = 5,788.51 : x
2. Step 2: Convert to fraction form
   10,264.84/14,165.22 = 5,788.51/x
3. Step 3: Cross multiply
   10,264.84x = 14,165.22 × 5,788.51
4. Step 4: Simplify right side
   10,264.84x = 81,995,517.62
5. Step 5: Solve for x
   x = 81,995,517.62/10,264.84
6. Step 6: Final answer
   x = 7,988.00