Finding the Fourth Proportional to 14,111.84, 19,474.44 and 7,824.26

Step by Step Solution

1. Step 1: Write the proportion equation
   14,111.84 : 19,474.44 = 7,824.26 : x
2. Step 2: Convert to fraction form
   14,111.84/19,474.44 = 7,824.26/x
3. Step 3: Cross multiply
   14,111.84x = 19,474.44 × 7,824.26
4. Step 4: Simplify right side
   14,111.84x = 152,373,081.91
5. Step 5: Solve for x
   x = 152,373,081.91/14,111.84
6. Step 6: Final answer
   x = 10,797.53