Finding the Fourth Proportional to 1,363.16, 1,881.29 and 765.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,363.16 : 1,881.29 = 765.69 : x
2. Step 2: Convert to fraction form
   1,363.16/1,881.29 = 765.69/x
3. Step 3: Cross multiply
   1,363.16x = 1,881.29 × 765.69
4. Step 4: Simplify right side
   1,363.16x = 1,440,479.80
5. Step 5: Solve for x
   x = 1,440,479.80/1,363.16
6. Step 6: Final answer
   x = 1,056.72