Finding the Fourth Proportional to 2,077.83, 3,119.48 and 1,461.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.83 : 3,119.48 = 1,461.82 : x
2. Step 2: Convert to fraction form
   2,077.83/3,119.48 = 1,461.82/x
3. Step 3: Cross multiply
   2,077.83x = 3,119.48 × 1,461.82
4. Step 4: Simplify right side
   2,077.83x = 4,560,118.25
5. Step 5: Solve for x
   x = 4,560,118.25/2,077.83
6. Step 6: Final answer
   x = 2,194.65