Finding the Fourth Proportional to 14,111.75, 19,474.89 and 7,824.13

Step by Step Solution

1. Step 1: Write the proportion equation
   14,111.75 : 19,474.89 = 7,824.13 : x
2. Step 2: Convert to fraction form
   14,111.75/19,474.89 = 7,824.13/x
3. Step 3: Cross multiply
   14,111.75x = 19,474.89 × 7,824.13
4. Step 4: Simplify right side
   14,111.75x = 152,373,973.72
5. Step 5: Solve for x
   x = 152,373,973.72/14,111.75
6. Step 6: Final answer
   x = 10,797.67