Finding the Fourth Proportional to 13,238.84, 19,867.83 and 7,684.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,238.84 : 19,867.83 = 7,684.78 : x
2. Step 2: Convert to fraction form
   13,238.84/19,867.83 = 7,684.78/x
3. Step 3: Cross multiply
   13,238.84x = 19,867.83 × 7,684.78
4. Step 4: Simplify right side
   13,238.84x = 152,679,764.86
5. Step 5: Solve for x
   x = 152,679,764.86/13,238.84
6. Step 6: Final answer
   x = 11,532.71