Finding the Fourth Proportional to 14,182.25, 19,571.74 and 7,808.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14,182.25 : 19,571.74 = 7,808.78 : x
2. Step 2: Convert to fraction form
   14,182.25/19,571.74 = 7,808.78/x
3. Step 3: Cross multiply
   14,182.25x = 19,571.74 × 7,808.78
4. Step 4: Simplify right side
   14,182.25x = 152,831,441.28
5. Step 5: Solve for x
   x = 152,831,441.28/14,182.25
6. Step 6: Final answer
   x = 10,776.25