Finding the Fourth Proportional to 13,729.50, 18,947.56 and 7,762.18

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 18,947.56 = 7,762.18 : x
2. Step 2: Convert to fraction form
   13,729.50/18,947.56 = 7,762.18/x
3. Step 3: Cross multiply
   13,729.50x = 18,947.56 × 7,762.18
4. Step 4: Simplify right side
   13,729.50x = 147,074,371.28
5. Step 5: Solve for x
   x = 147,074,371.28/13,729.50
6. Step 6: Final answer
   x = 10,712.29