Finding the Fourth Proportional to 2,538.54, 3,502.62 and 1,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.54 : 3,502.62 = 1,606.50 : x
2. Step 2: Convert to fraction form
   2,538.54/3,502.62 = 1,606.50/x
3. Step 3: Cross multiply
   2,538.54x = 3,502.62 × 1,606.50
4. Step 4: Simplify right side
   2,538.54x = 5,626,959.03
5. Step 5: Solve for x
   x = 5,626,959.03/2,538.54
6. Step 6: Final answer
   x = 2,216.61