Finding the Fourth Proportional to 2,527.72, 3,488.20 and 1,645.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.72 : 3,488.20 = 1,645.28 : x
2. Step 2: Convert to fraction form
   2,527.72/3,488.20 = 1,645.28/x
3. Step 3: Cross multiply
   2,527.72x = 3,488.20 × 1,645.28
4. Step 4: Simplify right side
   2,527.72x = 5,739,065.70
5. Step 5: Solve for x
   x = 5,739,065.70/2,527.72
6. Step 6: Final answer
   x = 2,270.45