Finding the Fourth Proportional to 1,855.43, 2,782.12 and 758.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.43 : 2,782.12 = 758.89 : x
2. Step 2: Convert to fraction form
   1,855.43/2,782.12 = 758.89/x
3. Step 3: Cross multiply
   1,855.43x = 2,782.12 × 758.89
4. Step 4: Simplify right side
   1,855.43x = 2,111,309.14
5. Step 5: Solve for x
   x = 2,111,309.14/1,855.43
6. Step 6: Final answer
   x = 1,137.91