Finding the Fourth Proportional to 5,978.24, 8,966.16 and 3,756.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.24 : 8,966.16 = 3,756.08 : x
2. Step 2: Convert to fraction form
   5,978.24/8,966.16 = 3,756.08/x
3. Step 3: Cross multiply
   5,978.24x = 8,966.16 × 3,756.08
4. Step 4: Simplify right side
   5,978.24x = 33,677,614.25
5. Step 5: Solve for x
   x = 33,677,614.25/5,978.24
6. Step 6: Final answer
   x = 5,633.37