Finding the Fourth Proportional to 1,355.43, 1,870.34 and 765.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.43 : 1,870.34 = 765.96 : x
2. Step 2: Convert to fraction form
   1,355.43/1,870.34 = 765.96/x
3. Step 3: Cross multiply
   1,355.43x = 1,870.34 × 765.96
4. Step 4: Simplify right side
   1,355.43x = 1,432,607.46
5. Step 5: Solve for x
   x = 1,432,607.46/1,355.43
6. Step 6: Final answer
   x = 1,056.94