Finding the Fourth Proportional to 1,924.20, 2,871 and 1,782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,924.20 : 2,871 = 1,782.72 : x
2. Step 2: Convert to fraction form
   1,924.20/2,871 = 1,782.72/x
3. Step 3: Cross multiply
   1,924.20x = 2,871 × 1,782.72
4. Step 4: Simplify right side
   1,924.20x = 5,118,189.12
5. Step 5: Solve for x
   x = 5,118,189.12/1,924.20
6. Step 6: Final answer
   x = 2,659.90