Finding the Fourth Proportional to 2,092.50, 3,134.64 and 1,434.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.50 : 3,134.64 = 1,434.27 : x
2. Step 2: Convert to fraction form
   2,092.50/3,134.64 = 1,434.27/x
3. Step 3: Cross multiply
   2,092.50x = 3,134.64 × 1,434.27
4. Step 4: Simplify right side
   2,092.50x = 4,495,920.11
5. Step 5: Solve for x
   x = 4,495,920.11/2,092.50
6. Step 6: Final answer
   x = 2,148.59