Finding the Fourth Proportional to 14,215.83, 19,616.96 and 7,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,215.83 : 19,616.96 = 7,842.50 : x
2. Step 2: Convert to fraction form
   14,215.83/19,616.96 = 7,842.50/x
3. Step 3: Cross multiply
   14,215.83x = 19,616.96 × 7,842.50
4. Step 4: Simplify right side
   14,215.83x = 153,846,008.80
5. Step 5: Solve for x
   x = 153,846,008.80/14,215.83
6. Step 6: Final answer
   x = 10,822.16