Finding the Fourth Proportional to 2,054.78, 3,083.77 and 1,434.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.78 : 3,083.77 = 1,434.46 : x
2. Step 2: Convert to fraction form
   2,054.78/3,083.77 = 1,434.46/x
3. Step 3: Cross multiply
   2,054.78x = 3,083.77 × 1,434.46
4. Step 4: Simplify right side
   2,054.78x = 4,423,529.30
5. Step 5: Solve for x
   x = 4,423,529.30/2,054.78
6. Step 6: Final answer
   x = 2,152.80