Finding the Fourth Proportional to 1,854.80, 2,780.10 and 758.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.80 : 2,780.10 = 758.56 : x
2. Step 2: Convert to fraction form
   1,854.80/2,780.10 = 758.56/x
3. Step 3: Cross multiply
   1,854.80x = 2,780.10 × 758.56
4. Step 4: Simplify right side
   1,854.80x = 2,108,868.86
5. Step 5: Solve for x
   x = 2,108,868.86/1,854.80
6. Step 6: Final answer
   x = 1,136.98