Finding the Fourth Proportional to 2,109.64, 3,162.42 and 1,013.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.64 : 3,162.42 = 1,013.74 : x
2. Step 2: Convert to fraction form
   2,109.64/3,162.42 = 1,013.74/x
3. Step 3: Cross multiply
   2,109.64x = 3,162.42 × 1,013.74
4. Step 4: Simplify right side
   2,109.64x = 3,205,871.65
5. Step 5: Solve for x
   x = 3,205,871.65/2,109.64
6. Step 6: Final answer
   x = 1,519.63