Finding the Fourth Proportional to 2,978.82, 4,464.98 and 2,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.82 : 4,464.98 = 2,002.50 : x
2. Step 2: Convert to fraction form
   2,978.82/4,464.98 = 2,002.50/x
3. Step 3: Cross multiply
   2,978.82x = 4,464.98 × 2,002.50
4. Step 4: Simplify right side
   2,978.82x = 8,941,122.45
5. Step 5: Solve for x
   x = 8,941,122.45/2,978.82
6. Step 6: Final answer
   x = 3,001.57