Finding the Fourth Proportional to 10,766.25, 16,156.71 and 3,840.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766.25 : 16,156.71 = 3,840.75 : x
2. Step 2: Convert to fraction form
   10,766.25/16,156.71 = 3,840.75/x
3. Step 3: Cross multiply
   10,766.25x = 16,156.71 × 3,840.75
4. Step 4: Simplify right side
   10,766.25x = 62,053,883.93
5. Step 5: Solve for x
   x = 62,053,883.93/10,766.25
6. Step 6: Final answer
   x = 5,763.74