Finding the Fourth Proportional to 2,071.22, 3,106.82 and 838.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.22 : 3,106.82 = 838.61 : x
2. Step 2: Convert to fraction form
   2,071.22/3,106.82 = 838.61/x
3. Step 3: Cross multiply
   2,071.22x = 3,106.82 × 838.61
4. Step 4: Simplify right side
   2,071.22x = 2,605,406.13
5. Step 5: Solve for x
   x = 2,605,406.13/2,071.22
6. Step 6: Final answer
   x = 1,257.91