Finding the Fourth Proportional to 14,111.88, 19,474.68 and 7,824.24

Step by Step Solution

1. Step 1: Write the proportion equation
   14,111.88 : 19,474.68 = 7,824.24 : x
2. Step 2: Convert to fraction form
   14,111.88/19,474.68 = 7,824.24/x
3. Step 3: Cross multiply
   14,111.88x = 19,474.68 × 7,824.24
4. Step 4: Simplify right side
   14,111.88x = 152,374,570.24
5. Step 5: Solve for x
   x = 152,374,570.24/14,111.88
6. Step 6: Final answer
   x = 10,797.61