Finding the Fourth Proportional to 1,380.13, 2,065.43 and 852.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.13 : 2,065.43 = 852.82 : x
2. Step 2: Convert to fraction form
   1,380.13/2,065.43 = 852.82/x
3. Step 3: Cross multiply
   1,380.13x = 2,065.43 × 852.82
4. Step 4: Simplify right side
   1,380.13x = 1,761,436.98
5. Step 5: Solve for x
   x = 1,761,436.98/1,380.13
6. Step 6: Final answer
   x = 1,276.29