Finding the Fourth Proportional to 2,007.48, 3,007.98 and 1,142.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.48 : 3,007.98 = 1,142.40 : x
2. Step 2: Convert to fraction form
   2,007.48/3,007.98 = 1,142.40/x
3. Step 3: Cross multiply
   2,007.48x = 3,007.98 × 1,142.40
4. Step 4: Simplify right side
   2,007.48x = 3,436,316.35
5. Step 5: Solve for x
   x = 3,436,316.35/2,007.48
6. Step 6: Final answer
   x = 1,711.76