Finding the Fourth Proportional to 3,801.60, 5,667.84 and 3,646.08

Step by Step Solution

1. Step 1: Write the proportion equation
   3,801.60 : 5,667.84 = 3,646.08 : x
2. Step 2: Convert to fraction form
   3,801.60/5,667.84 = 3,646.08/x
3. Step 3: Cross multiply
   3,801.60x = 5,667.84 × 3,646.08
4. Step 4: Simplify right side
   3,801.60x = 20,665,398.07
5. Step 5: Solve for x
   x = 20,665,398.07/3,801.60
6. Step 6: Final answer
   x = 5,435.97