Finding the Fourth Proportional to 2,801.06, 4,200.37 and 852.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.06 : 4,200.37 = 852.81 : x
2. Step 2: Convert to fraction form
   2,801.06/4,200.37 = 852.81/x
3. Step 3: Cross multiply
   2,801.06x = 4,200.37 × 852.81
4. Step 4: Simplify right side
   2,801.06x = 3,582,096.54
5. Step 5: Solve for x
   x = 3,582,096.54/2,801.06
6. Step 6: Final answer
   x = 1,278.84