Finding the Fourth Proportional to 10,264.14, 14,164.34 and 5,787.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.14 : 14,164.34 = 5,787.90 : x
2. Step 2: Convert to fraction form
   10,264.14/14,164.34 = 5,787.90/x
3. Step 3: Cross multiply
   10,264.14x = 14,164.34 × 5,787.90
4. Step 4: Simplify right side
   10,264.14x = 81,981,783.49
5. Step 5: Solve for x
   x = 81,981,783.49/10,264.14
6. Step 6: Final answer
   x = 7,987.20