Finding the Fourth Proportional to 1,355.06, 1,869.94 and 765.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.06 : 1,869.94 = 765.56 : x
2. Step 2: Convert to fraction form
   1,355.06/1,869.94 = 765.56/x
3. Step 3: Cross multiply
   1,355.06x = 1,869.94 × 765.56
4. Step 4: Simplify right side
   1,355.06x = 1,431,551.27
5. Step 5: Solve for x
   x = 1,431,551.27/1,355.06
6. Step 6: Final answer
   x = 1,056.45