Finding the Fourth Proportional to 12,886.50, 17,783.41 and 7,512.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,886.50 : 17,783.41 = 7,512.13 : x
2. Step 2: Convert to fraction form
   12,886.50/17,783.41 = 7,512.13/x
3. Step 3: Cross multiply
   12,886.50x = 17,783.41 × 7,512.13
4. Step 4: Simplify right side
   12,886.50x = 133,591,224.52
5. Step 5: Solve for x
   x = 133,591,224.52/12,886.50
6. Step 6: Final answer
   x = 10,366.76