Finding the Fourth Proportional to 12,966.50, 19,452.63 and 4,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966.50 : 19,452.63 = 4,758.50 : x
2. Step 2: Convert to fraction form
   12,966.50/19,452.63 = 4,758.50/x
3. Step 3: Cross multiply
   12,966.50x = 19,452.63 × 4,758.50
4. Step 4: Simplify right side
   12,966.50x = 92,565,339.86
5. Step 5: Solve for x
   x = 92,565,339.86/12,966.50
6. Step 6: Final answer
   x = 7,138.81