Finding the Fourth Proportional to 1,377.29, 1,900.70 and 779.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.29 : 1,900.70 = 779.83 : x
2. Step 2: Convert to fraction form
   1,377.29/1,900.70 = 779.83/x
3. Step 3: Cross multiply
   1,377.29x = 1,900.70 × 779.83
4. Step 4: Simplify right side
   1,377.29x = 1,482,217.15
5. Step 5: Solve for x
   x = 1,482,217.15/1,377.29
6. Step 6: Final answer
   x = 1,076.18