Finding the Fourth Proportional to 13,178.42, 19,760.55 and 5,774.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,178.42 : 19,760.55 = 5,774.27 : x
2. Step 2: Convert to fraction form
   13,178.42/19,760.55 = 5,774.27/x
3. Step 3: Cross multiply
   13,178.42x = 19,760.55 × 5,774.27
4. Step 4: Simplify right side
   13,178.42x = 114,102,630.59
5. Step 5: Solve for x
   x = 114,102,630.59/13,178.42
6. Step 6: Final answer
   x = 8,658.29