Finding the Fourth Proportional to 5,653.42, 7,804 and 3,665.68

Step by Step Solution

1. Step 1: Write the proportion equation
   5,653.42 : 7,804 = 3,665.68 : x
2. Step 2: Convert to fraction form
   5,653.42/7,804 = 3,665.68/x
3. Step 3: Cross multiply
   5,653.42x = 7,804 × 3,665.68
4. Step 4: Simplify right side
   5,653.42x = 28,606,966.72
5. Step 5: Solve for x
   x = 28,606,966.72/5,653.42
6. Step 6: Final answer
   x = 5,060.12