Finding the Fourth Proportional to 10,264.49, 14,165.15 and 5,788.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.49 : 14,165.15 = 5,788.46 : x
2. Step 2: Convert to fraction form
   10,264.49/14,165.15 = 5,788.46/x
3. Step 3: Cross multiply
   10,264.49x = 14,165.15 × 5,788.46
4. Step 4: Simplify right side
   10,264.49x = 81,994,404.17
5. Step 5: Solve for x
   x = 81,994,404.17/10,264.49
6. Step 6: Final answer
   x = 7,988.16