Finding the Fourth Proportional to 1,386.47, 1,913.33 and 765.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.47 : 1,913.33 = 765.47 : x
2. Step 2: Convert to fraction form
   1,386.47/1,913.33 = 765.47/x
3. Step 3: Cross multiply
   1,386.47x = 1,913.33 × 765.47
4. Step 4: Simplify right side
   1,386.47x = 1,464,592.89
5. Step 5: Solve for x
   x = 1,464,592.89/1,386.47
6. Step 6: Final answer
   x = 1,056.35