Finding the Fourth Proportional to 1,508.34, 2,077.20 and 1,414.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,508.34 : 2,077.20 = 1,414.59 : x
2. Step 2: Convert to fraction form
   1,508.34/2,077.20 = 1,414.59/x
3. Step 3: Cross multiply
   1,508.34x = 2,077.20 × 1,414.59
4. Step 4: Simplify right side
   1,508.34x = 2,938,386.35
5. Step 5: Solve for x
   x = 2,938,386.35/1,508.34
6. Step 6: Final answer
   x = 1,948.09