Finding the Fourth Proportional to 1,355.38, 1,870.41 and 765.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.38 : 1,870.41 = 765.88 : x
2. Step 2: Convert to fraction form
   1,355.38/1,870.41 = 765.88/x
3. Step 3: Cross multiply
   1,355.38x = 1,870.41 × 765.88
4. Step 4: Simplify right side
   1,355.38x = 1,432,509.61
5. Step 5: Solve for x
   x = 1,432,509.61/1,355.38
6. Step 6: Final answer
   x = 1,056.91