Finding the Fourth Proportional to 1,377.30, 1,900.34 and 787.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.30 : 1,900.34 = 787.82 : x
2. Step 2: Convert to fraction form
   1,377.30/1,900.34 = 787.82/x
3. Step 3: Cross multiply
   1,377.30x = 1,900.34 × 787.82
4. Step 4: Simplify right side
   1,377.30x = 1,497,125.86
5. Step 5: Solve for x
   x = 1,497,125.86/1,377.30
6. Step 6: Final answer
   x = 1,087.00