Finding the Fourth Proportional to 12,966.48, 19,422.72 and 7,769.52

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966.48 : 19,422.72 = 7,769.52 : x
2. Step 2: Convert to fraction form
   12,966.48/19,422.72 = 7,769.52/x
3. Step 3: Cross multiply
   12,966.48x = 19,422.72 × 7,769.52
4. Step 4: Simplify right side
   12,966.48x = 150,905,211.49
5. Step 5: Solve for x
   x = 150,905,211.49/12,966.48
6. Step 6: Final answer
   x = 11,638.10