Finding the Fourth Proportional to 5,338.50, 7,993.77 and 3,770.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338.50 : 7,993.77 = 3,770.02 : x
2. Step 2: Convert to fraction form
   5,338.50/7,993.77 = 3,770.02/x
3. Step 3: Cross multiply
   5,338.50x = 7,993.77 × 3,770.02
4. Step 4: Simplify right side
   5,338.50x = 30,136,672.78
5. Step 5: Solve for x
   x = 30,136,672.78/5,338.50
6. Step 6: Final answer
   x = 5,645.16