Finding the Fourth Proportional to 5,786.42, 7,998.38 and 5,327.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,786.42 : 7,998.38 = 5,327.14 : x
2. Step 2: Convert to fraction form
   5,786.42/7,998.38 = 5,327.14/x
3. Step 3: Cross multiply
   5,786.42x = 7,998.38 × 5,327.14
4. Step 4: Simplify right side
   5,786.42x = 42,608,490.03
5. Step 5: Solve for x
   x = 42,608,490.03/5,786.42
6. Step 6: Final answer
   x = 7,363.53