Finding the Fourth Proportional to 2,527.83, 3,488.42 and 1,645.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.83 : 3,488.42 = 1,645.20 : x
2. Step 2: Convert to fraction form
   2,527.83/3,488.42 = 1,645.20/x
3. Step 3: Cross multiply
   2,527.83x = 3,488.42 × 1,645.20
4. Step 4: Simplify right side
   2,527.83x = 5,739,152.70
5. Step 5: Solve for x
   x = 5,739,152.70/2,527.83
6. Step 6: Final answer
   x = 2,270.39