Finding the Fourth Proportional to 2,527.20, 3,485.97 and 1,642.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.20 : 3,485.97 = 1,642.82 : x
2. Step 2: Convert to fraction form
   2,527.20/3,485.97 = 1,642.82/x
3. Step 3: Cross multiply
   2,527.20x = 3,485.97 × 1,642.82
4. Step 4: Simplify right side
   2,527.20x = 5,726,803.81
5. Step 5: Solve for x
   x = 5,726,803.81/2,527.20
6. Step 6: Final answer
   x = 2,266.07