Finding the Fourth Proportional to 14,221.10, 19,624.98 and 7,847.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,221.10 : 19,624.98 = 7,847.75 : x
2. Step 2: Convert to fraction form
   14,221.10/19,624.98 = 7,847.75/x
3. Step 3: Cross multiply
   14,221.10x = 19,624.98 × 7,847.75
4. Step 4: Simplify right side
   14,221.10x = 154,012,015.29
5. Step 5: Solve for x
   x = 154,012,015.29/14,221.10
6. Step 6: Final answer
   x = 10,829.82