Finding the Fourth Proportional to 1,826.72, 2,740.71 and 852.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.72 : 2,740.71 = 852.92 : x
2. Step 2: Convert to fraction form
   1,826.72/2,740.71 = 852.92/x
3. Step 3: Cross multiply
   1,826.72x = 2,740.71 × 852.92
4. Step 4: Simplify right side
   1,826.72x = 2,337,606.37
5. Step 5: Solve for x
   x = 2,337,606.37/1,826.72
6. Step 6: Final answer
   x = 1,279.67