Finding the Fourth Proportional to 12,664, 19,003.56 and 5,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,664 : 19,003.56 = 5,738.50 : x
2. Step 2: Convert to fraction form
   12,664/19,003.56 = 5,738.50/x
3. Step 3: Cross multiply
   12,664x = 19,003.56 × 5,738.50
4. Step 4: Simplify right side
   12,664x = 109,051,929.06
5. Step 5: Solve for x
   x = 109,051,929.06/12,664
6. Step 6: Final answer
   x = 8,611.18