Finding the Fourth Proportional to 1,377.12, 1,900.38 and 787.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.12 : 1,900.38 = 787.65 : x
2. Step 2: Convert to fraction form
   1,377.12/1,900.38 = 787.65/x
3. Step 3: Cross multiply
   1,377.12x = 1,900.38 × 787.65
4. Step 4: Simplify right side
   1,377.12x = 1,496,834.31
5. Step 5: Solve for x
   x = 1,496,834.31/1,377.12
6. Step 6: Final answer
   x = 1,086.93