Finding the Fourth Proportional to 1,386.56, 1,913.46 and 765.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.56 : 1,913.46 = 765.56 : x
2. Step 2: Convert to fraction form
   1,386.56/1,913.46 = 765.56/x
3. Step 3: Cross multiply
   1,386.56x = 1,913.46 × 765.56
4. Step 4: Simplify right side
   1,386.56x = 1,464,870.35
5. Step 5: Solve for x
   x = 1,464,870.35/1,386.56
6. Step 6: Final answer
   x = 1,056.48