Finding the Fourth Proportional to 2,109.12, 3,164.38 and 1,013.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.12 : 3,164.38 = 1,013.57 : x
2. Step 2: Convert to fraction form
   2,109.12/3,164.38 = 1,013.57/x
3. Step 3: Cross multiply
   2,109.12x = 3,164.38 × 1,013.57
4. Step 4: Simplify right side
   2,109.12x = 3,207,302.28
5. Step 5: Solve for x
   x = 3,207,302.28/2,109.12
6. Step 6: Final answer
   x = 1,520.68