Finding the Fourth Proportional to 10,264.47, 14,164.68 and 5,788.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.47 : 14,164.68 = 5,788.18 : x
2. Step 2: Convert to fraction form
   10,264.47/14,164.68 = 5,788.18/x
3. Step 3: Cross multiply
   10,264.47x = 14,164.68 × 5,788.18
4. Step 4: Simplify right side
   10,264.47x = 81,987,717.48
5. Step 5: Solve for x
   x = 81,987,717.48/10,264.47
6. Step 6: Final answer
   x = 7,987.53