Finding the Fourth Proportional to 5,655.57, 7,799.67 and 3,664.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,655.57 : 7,799.67 = 3,664.05 : x
2. Step 2: Convert to fraction form
   5,655.57/7,799.67 = 3,664.05/x
3. Step 3: Cross multiply
   5,655.57x = 7,799.67 × 3,664.05
4. Step 4: Simplify right side
   5,655.57x = 28,578,380.86
5. Step 5: Solve for x
   x = 28,578,380.86/5,655.57
6. Step 6: Final answer
   x = 5,053.14