Finding the Fourth Proportional to 10,264.28, 14,164.43 and 5,787.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.28 : 14,164.43 = 5,787.86 : x
2. Step 2: Convert to fraction form
   10,264.28/14,164.43 = 5,787.86/x
3. Step 3: Cross multiply
   10,264.28x = 14,164.43 × 5,787.86
4. Step 4: Simplify right side
   10,264.28x = 81,981,638.06
5. Step 5: Solve for x
   x = 81,981,638.06/10,264.28
6. Step 6: Final answer
   x = 7,987.09