Finding the Fourth Proportional to 22,019.64, 32,946.69 and 13,102.14

Step by Step Solution

1. Step 1: Write the proportion equation
   22,019.64 : 32,946.69 = 13,102.14 : x
2. Step 2: Convert to fraction form
   22,019.64/32,946.69 = 13,102.14/x
3. Step 3: Cross multiply
   22,019.64x = 32,946.69 × 13,102.14
4. Step 4: Simplify right side
   22,019.64x = 431,672,144.92
5. Step 5: Solve for x
   x = 431,672,144.92/22,019.64
6. Step 6: Final answer
   x = 19,603.96