Finding the Fourth Proportional to 5,663.94, 7,824.12 and 5,387.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.94 : 7,824.12 = 5,387.16 : x
2. Step 2: Convert to fraction form
   5,663.94/7,824.12 = 5,387.16/x
3. Step 3: Cross multiply
   5,663.94x = 7,824.12 × 5,387.16
4. Step 4: Simplify right side
   5,663.94x = 42,149,786.30
5. Step 5: Solve for x
   x = 42,149,786.30/5,663.94
6. Step 6: Final answer
   x = 7,441.78