Finding the Fourth Proportional to 1,560.82, 2,153.89 and 852.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,560.82 : 2,153.89 = 852.65 : x
2. Step 2: Convert to fraction form
   1,560.82/2,153.89 = 852.65/x
3. Step 3: Cross multiply
   1,560.82x = 2,153.89 × 852.65
4. Step 4: Simplify right side
   1,560.82x = 1,836,514.31
5. Step 5: Solve for x
   x = 1,836,514.31/1,560.82
6. Step 6: Final answer
   x = 1,176.63