Finding the Fourth Proportional to 1,742.31, 2,404.85 and 1,078.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.31 : 2,404.85 = 1,078.77 : x
2. Step 2: Convert to fraction form
   1,742.31/2,404.85 = 1,078.77/x
3. Step 3: Cross multiply
   1,742.31x = 2,404.85 × 1,078.77
4. Step 4: Simplify right side
   1,742.31x = 2,594,274.64
5. Step 5: Solve for x
   x = 2,594,274.64/1,742.31
6. Step 6: Final answer
   x = 1,488.99