Finding the Fourth Proportional to 5,661.65, 8,495.93 and 3,578.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,661.65 : 8,495.93 = 3,578.78 : x
2. Step 2: Convert to fraction form
   5,661.65/8,495.93 = 3,578.78/x
3. Step 3: Cross multiply
   5,661.65x = 8,495.93 × 3,578.78
4. Step 4: Simplify right side
   5,661.65x = 30,405,094.55
5. Step 5: Solve for x
   x = 30,405,094.55/5,661.65
6. Step 6: Final answer
   x = 5,370.36