Finding the Fourth Proportional to 1,826.42, 2,740.84 and 852.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.42 : 2,740.84 = 852.59 : x
2. Step 2: Convert to fraction form
   1,826.42/2,740.84 = 852.59/x
3. Step 3: Cross multiply
   1,826.42x = 2,740.84 × 852.59
4. Step 4: Simplify right side
   1,826.42x = 2,336,817.50
5. Step 5: Solve for x
   x = 2,336,817.50/1,826.42
6. Step 6: Final answer
   x = 1,279.46