Finding the Fourth Proportional to 1,856.36, 2,782.52 and 759.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.36 : 2,782.52 = 759.42 : x
2. Step 2: Convert to fraction form
   1,856.36/2,782.52 = 759.42/x
3. Step 3: Cross multiply
   1,856.36x = 2,782.52 × 759.42
4. Step 4: Simplify right side
   1,856.36x = 2,113,101.34
5. Step 5: Solve for x
   x = 2,113,101.34/1,856.36
6. Step 6: Final answer
   x = 1,138.30