Finding the Fourth Proportional to 2,642.76, 3,647.01 and 1,463.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.76 : 3,647.01 = 1,463.81 : x
2. Step 2: Convert to fraction form
   2,642.76/3,647.01 = 1,463.81/x
3. Step 3: Cross multiply
   2,642.76x = 3,647.01 × 1,463.81
4. Step 4: Simplify right side
   2,642.76x = 5,338,511.47
5. Step 5: Solve for x
   x = 5,338,511.47/2,642.76
6. Step 6: Final answer
   x = 2,020.05