Finding the Fourth Proportional to 12,824.29, 17,692.64 and 7,786.59

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824.29 : 17,692.64 = 7,786.59 : x
2. Step 2: Convert to fraction form
   12,824.29/17,692.64 = 7,786.59/x
3. Step 3: Cross multiply
   12,824.29x = 17,692.64 × 7,786.59
4. Step 4: Simplify right side
   12,824.29x = 137,765,333.70
5. Step 5: Solve for x
   x = 137,765,333.70/12,824.29
6. Step 6: Final answer
   x = 10,742.54