Finding the Fourth Proportional to 3,697.83, 5,129.16 and 3,564.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.83 : 5,129.16 = 3,564.84 : x
2. Step 2: Convert to fraction form
   3,697.83/5,129.16 = 3,564.84/x
3. Step 3: Cross multiply
   3,697.83x = 5,129.16 × 3,564.84
4. Step 4: Simplify right side
   3,697.83x = 18,284,634.73
5. Step 5: Solve for x
   x = 18,284,634.73/3,697.83
6. Step 6: Final answer
   x = 4,944.69