Finding the Fourth Proportional to 2,477.62, 3,418.41 and 1,638.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.62 : 3,418.41 = 1,638.02 : x
2. Step 2: Convert to fraction form
   2,477.62/3,418.41 = 1,638.02/x
3. Step 3: Cross multiply
   2,477.62x = 3,418.41 × 1,638.02
4. Step 4: Simplify right side
   2,477.62x = 5,599,428.22
5. Step 5: Solve for x
   x = 5,599,428.22/2,477.62
6. Step 6: Final answer
   x = 2,260.00