Finding the Fourth Proportional to 1,826.50, 2,738.12 and 852.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.50 : 2,738.12 = 852.07 : x
2. Step 2: Convert to fraction form
   1,826.50/2,738.12 = 852.07/x
3. Step 3: Cross multiply
   1,826.50x = 2,738.12 × 852.07
4. Step 4: Simplify right side
   1,826.50x = 2,333,069.91
5. Step 5: Solve for x
   x = 2,333,069.91/1,826.50
6. Step 6: Final answer
   x = 1,277.34