Finding the Fourth Proportional to 5,945.94, 8,202.33 and 5,523.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945.94 : 8,202.33 = 5,523.80 : x
2. Step 2: Convert to fraction form
   5,945.94/8,202.33 = 5,523.80/x
3. Step 3: Cross multiply
   5,945.94x = 8,202.33 × 5,523.80
4. Step 4: Simplify right side
   5,945.94x = 45,307,989.44
5. Step 5: Solve for x
   x = 45,307,989.44/5,945.94
6. Step 6: Final answer
   x = 7,619.99