Finding the Fourth Proportional to 1,355.37, 1,869.96 and 765.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.37 : 1,869.96 = 765.82 : x
2. Step 2: Convert to fraction form
   1,355.37/1,869.96 = 765.82/x
3. Step 3: Cross multiply
   1,355.37x = 1,869.96 × 765.82
4. Step 4: Simplify right side
   1,355.37x = 1,432,052.77
5. Step 5: Solve for x
   x = 1,432,052.77/1,355.37
6. Step 6: Final answer
   x = 1,056.58