Finding the Fourth Proportional to 10,264.24, 14,164.50 and 5,787.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.24 : 14,164.50 = 5,787.73 : x
2. Step 2: Convert to fraction form
   10,264.24/14,164.50 = 5,787.73/x
3. Step 3: Cross multiply
   10,264.24x = 14,164.50 × 5,787.73
4. Step 4: Simplify right side
   10,264.24x = 81,980,301.59
5. Step 5: Solve for x
   x = 81,980,301.59/10,264.24
6. Step 6: Final answer
   x = 7,986.98