Finding the Fourth Proportional to 14,242.56, 21,362.22 and 3,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,242.56 : 21,362.22 = 3,853.50 : x
2. Step 2: Convert to fraction form
   14,242.56/21,362.22 = 3,853.50/x
3. Step 3: Cross multiply
   14,242.56x = 21,362.22 × 3,853.50
4. Step 4: Simplify right side
   14,242.56x = 82,319,314.77
5. Step 5: Solve for x
   x = 82,319,314.77/14,242.56
6. Step 6: Final answer
   x = 5,779.81