Finding the Fourth Proportional to 2,109.21, 3,164.49 and 1,012.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.21 : 3,164.49 = 1,012.95 : x
2. Step 2: Convert to fraction form
   2,109.21/3,164.49 = 1,012.95/x
3. Step 3: Cross multiply
   2,109.21x = 3,164.49 × 1,012.95
4. Step 4: Simplify right side
   2,109.21x = 3,205,470.15
5. Step 5: Solve for x
   x = 3,205,470.15/2,109.21
6. Step 6: Final answer
   x = 1,519.75