Finding the Fourth Proportional to 13,114.42, 19,658.29 and 5,222.52

Step by Step Solution

1. Step 1: Write the proportion equation
   13,114.42 : 19,658.29 = 5,222.52 : x
2. Step 2: Convert to fraction form
   13,114.42/19,658.29 = 5,222.52/x
3. Step 3: Cross multiply
   13,114.42x = 19,658.29 × 5,222.52
4. Step 4: Simplify right side
   13,114.42x = 102,665,812.69
5. Step 5: Solve for x
   x = 102,665,812.69/13,114.42
6. Step 6: Final answer
   x = 7,828.47