Finding the Fourth Proportional to 2,114.80, 3,171.49 and 1,004.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.80 : 3,171.49 = 1,004.06 : x
2. Step 2: Convert to fraction form
   2,114.80/3,171.49 = 1,004.06/x
3. Step 3: Cross multiply
   2,114.80x = 3,171.49 × 1,004.06
4. Step 4: Simplify right side
   2,114.80x = 3,184,366.25
5. Step 5: Solve for x
   x = 3,184,366.25/2,114.80
6. Step 6: Final answer
   x = 1,505.75