Finding the Fourth Proportional to 1,854.72, 2,782.10 and 758.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.72 : 2,782.10 = 758.32 : x
2. Step 2: Convert to fraction form
   1,854.72/2,782.10 = 758.32/x
3. Step 3: Cross multiply
   1,854.72x = 2,782.10 × 758.32
4. Step 4: Simplify right side
   1,854.72x = 2,109,717.01
5. Step 5: Solve for x
   x = 2,109,717.01/1,854.72
6. Step 6: Final answer
   x = 1,137.49