Finding the Fourth Proportional to 2,462.59, 3,688.82 and 1,638.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.59 : 3,688.82 = 1,638.21 : x
2. Step 2: Convert to fraction form
   2,462.59/3,688.82 = 1,638.21/x
3. Step 3: Cross multiply
   2,462.59x = 3,688.82 × 1,638.21
4. Step 4: Simplify right side
   2,462.59x = 6,043,061.81
5. Step 5: Solve for x
   x = 6,043,061.81/2,462.59
6. Step 6: Final answer
   x = 2,453.95