Finding the Fourth Proportional to 1,854.32, 2,780.78 and 758.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.32 : 2,780.78 = 758.09 : x
2. Step 2: Convert to fraction form
   1,854.32/2,780.78 = 758.09/x
3. Step 3: Cross multiply
   1,854.32x = 2,780.78 × 758.09
4. Step 4: Simplify right side
   1,854.32x = 2,108,084.67
5. Step 5: Solve for x
   x = 2,108,084.67/1,854.32
6. Step 6: Final answer
   x = 1,136.85