Finding the Fourth Proportional to 3,494.10, 4,822.47 and 2,077.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,494.10 : 4,822.47 = 2,077.14 : x
2. Step 2: Convert to fraction form
   3,494.10/4,822.47 = 2,077.14/x
3. Step 3: Cross multiply
   3,494.10x = 4,822.47 × 2,077.14
4. Step 4: Simplify right side
   3,494.10x = 10,016,945.34
5. Step 5: Solve for x
   x = 10,016,945.34/3,494.10
6. Step 6: Final answer
   x = 2,866.82