Finding the Fourth Proportional to 2,077.80, 3,111.30 and 1,642.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.80 : 3,111.30 = 1,642.20 : x
2. Step 2: Convert to fraction form
   2,077.80/3,111.30 = 1,642.20/x
3. Step 3: Cross multiply
   2,077.80x = 3,111.30 × 1,642.20
4. Step 4: Simplify right side
   2,077.80x = 5,109,376.86
5. Step 5: Solve for x
   x = 5,109,376.86/2,077.80
6. Step 6: Final answer
   x = 2,459.03