Finding the Fourth Proportional to 1,830.38, 2,740.88 and 1,007.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.38 : 2,740.88 = 1,007.74 : x
2. Step 2: Convert to fraction form
   1,830.38/2,740.88 = 1,007.74/x
3. Step 3: Cross multiply
   1,830.38x = 2,740.88 × 1,007.74
4. Step 4: Simplify right side
   1,830.38x = 2,762,082.52
5. Step 5: Solve for x
   x = 2,762,082.52/1,830.38
6. Step 6: Final answer
   x = 1,509.02