Finding the Fourth Proportional to 13,238.34, 19,867.07 and 7,684.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238.34 : 19,867.07 = 7,684.27 : x
2. Step 2: Convert to fraction form
   13,238.34/19,867.07 = 7,684.27/x
3. Step 3: Cross multiply
   13,238.34x = 19,867.07 × 7,684.27
4. Step 4: Simplify right side
   13,238.34x = 152,664,011.28
5. Step 5: Solve for x
   x = 152,664,011.28/13,238.34
6. Step 6: Final answer
   x = 11,531.96