Finding the Fourth Proportional to 2,538.51, 3,502.62 and 1,542.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.51 : 3,502.62 = 1,542.06 : x
2. Step 2: Convert to fraction form
   2,538.51/3,502.62 = 1,542.06/x
3. Step 3: Cross multiply
   2,538.51x = 3,502.62 × 1,542.06
4. Step 4: Simplify right side
   2,538.51x = 5,401,255.71
5. Step 5: Solve for x
   x = 5,401,255.71/2,538.51
6. Step 6: Final answer
   x = 2,127.72