Finding the Fourth Proportional to 2,884.82, 3,978.38 and 2,140.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,884.82 : 3,978.38 = 2,140.63 : x
2. Step 2: Convert to fraction form
   2,884.82/3,978.38 = 2,140.63/x
3. Step 3: Cross multiply
   2,884.82x = 3,978.38 × 2,140.63
4. Step 4: Simplify right side
   2,884.82x = 8,516,234.99
5. Step 5: Solve for x
   x = 8,516,234.99/2,884.82
6. Step 6: Final answer
   x = 2,952.09