Finding the Fourth Proportional to 2,106.63, 3,162.27 and 1,781.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106.63 : 3,162.27 = 1,781.61 : x
2. Step 2: Convert to fraction form
   2,106.63/3,162.27 = 1,781.61/x
3. Step 3: Cross multiply
   2,106.63x = 3,162.27 × 1,781.61
4. Step 4: Simplify right side
   2,106.63x = 5,633,931.85
5. Step 5: Solve for x
   x = 5,633,931.85/2,106.63
6. Step 6: Final answer
   x = 2,674.38