Finding the Fourth Proportional to 1,355.24, 1,870.32 and 765.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.24 : 1,870.32 = 765.83 : x
2. Step 2: Convert to fraction form
   1,355.24/1,870.32 = 765.83/x
3. Step 3: Cross multiply
   1,355.24x = 1,870.32 × 765.83
4. Step 4: Simplify right side
   1,355.24x = 1,432,337.81
5. Step 5: Solve for x
   x = 1,432,337.81/1,355.24
6. Step 6: Final answer
   x = 1,056.89