Finding the Fourth Proportional to 2,082.78, 2,875.41 and 1,422.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.78 : 2,875.41 = 1,422.63 : x
2. Step 2: Convert to fraction form
   2,082.78/2,875.41 = 1,422.63/x
3. Step 3: Cross multiply
   2,082.78x = 2,875.41 × 1,422.63
4. Step 4: Simplify right side
   2,082.78x = 4,090,644.53
5. Step 5: Solve for x
   x = 4,090,644.53/2,082.78
6. Step 6: Final answer
   x = 1,964.03