Finding the Fourth Proportional to 2,077.80, 3,114.54 and 1,102.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.80 : 3,114.54 = 1,102.56 : x
2. Step 2: Convert to fraction form
   2,077.80/3,114.54 = 1,102.56/x
3. Step 3: Cross multiply
   2,077.80x = 3,114.54 × 1,102.56
4. Step 4: Simplify right side
   2,077.80x = 3,433,967.22
5. Step 5: Solve for x
   x = 3,433,967.22/2,077.80
6. Step 6: Final answer
   x = 1,652.69