Finding the Fourth Proportional to 5,338.24, 7,406.98 and 5,185.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338.24 : 7,406.98 = 5,185.15 : x
2. Step 2: Convert to fraction form
   5,338.24/7,406.98 = 5,185.15/x
3. Step 3: Cross multiply
   5,338.24x = 7,406.98 × 5,185.15
4. Step 4: Simplify right side
   5,338.24x = 38,406,270.87
5. Step 5: Solve for x
   x = 38,406,270.87/5,338.24
6. Step 6: Final answer
   x = 7,194.56