Finding the Fourth Proportional to 13,022.65, 19,538.16 and 4,255.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,022.65 : 19,538.16 = 4,255.57 : x
2. Step 2: Convert to fraction form
   13,022.65/19,538.16 = 4,255.57/x
3. Step 3: Cross multiply
   13,022.65x = 19,538.16 × 4,255.57
4. Step 4: Simplify right side
   13,022.65x = 83,146,007.55
5. Step 5: Solve for x
   x = 83,146,007.55/13,022.65
6. Step 6: Final answer
   x = 6,384.72