Finding the Fourth Proportional to 2,462.82, 3,693.93 and 1,538.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.82 : 3,693.93 = 1,538.46 : x
2. Step 2: Convert to fraction form
   2,462.82/3,693.93 = 1,538.46/x
3. Step 3: Cross multiply
   2,462.82x = 3,693.93 × 1,538.46
4. Step 4: Simplify right side
   2,462.82x = 5,682,963.55
5. Step 5: Solve for x
   x = 5,682,963.55/2,462.82
6. Step 6: Final answer
   x = 2,307.50