Finding the Fourth Proportional to 3,977.74, 5,477.61 and 3,645.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,977.74 : 5,477.61 = 3,645.10 : x
2. Step 2: Convert to fraction form
   3,977.74/5,477.61 = 3,645.10/x
3. Step 3: Cross multiply
   3,977.74x = 5,477.61 × 3,645.10
4. Step 4: Simplify right side
   3,977.74x = 19,966,422.52
5. Step 5: Solve for x
   x = 19,966,422.52/3,977.74
6. Step 6: Final answer
   x = 5,019.54