Finding the Fourth Proportional to 2,142.72, 3,216.24 and 2,001.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.72 : 3,216.24 = 2,001.60 : x
2. Step 2: Convert to fraction form
   2,142.72/3,216.24 = 2,001.60/x
3. Step 3: Cross multiply
   2,142.72x = 3,216.24 × 2,001.60
4. Step 4: Simplify right side
   2,142.72x = 6,437,625.98
5. Step 5: Solve for x
   x = 6,437,625.98/2,142.72
6. Step 6: Final answer
   x = 3,004.42