Finding the Fourth Proportional to 1,952.82, 2,923.61 and 1,830.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,952.82 : 2,923.61 = 1,830.20 : x
2. Step 2: Convert to fraction form
   1,952.82/2,923.61 = 1,830.20/x
3. Step 3: Cross multiply
   1,952.82x = 2,923.61 × 1,830.20
4. Step 4: Simplify right side
   1,952.82x = 5,350,767.25
5. Step 5: Solve for x
   x = 5,350,767.25/1,952.82
6. Step 6: Final answer
   x = 2,740.02