Finding the Fourth Proportional to 5,783.02, 7,978.43 and 3,796.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.02 : 7,978.43 = 3,796.27 : x
2. Step 2: Convert to fraction form
   5,783.02/7,978.43 = 3,796.27/x
3. Step 3: Cross multiply
   5,783.02x = 7,978.43 × 3,796.27
4. Step 4: Simplify right side
   5,783.02x = 30,288,274.46
5. Step 5: Solve for x
   x = 30,288,274.46/5,783.02
6. Step 6: Final answer
   x = 5,237.45