Finding the Fourth Proportional to 1,829.40, 2,743.56 and 1,007.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,829.40 : 2,743.56 = 1,007.52 : x
2. Step 2: Convert to fraction form
   1,829.40/2,743.56 = 1,007.52/x
3. Step 3: Cross multiply
   1,829.40x = 2,743.56 × 1,007.52
4. Step 4: Simplify right side
   1,829.40x = 2,764,191.57
5. Step 5: Solve for x
   x = 2,764,191.57/1,829.40
6. Step 6: Final answer
   x = 1,510.98