Finding the Fourth Proportional to 12,819.87, 17,686.01 and 7,782.14

Step by Step Solution

1. Step 1: Write the proportion equation
   12,819.87 : 17,686.01 = 7,782.14 : x
2. Step 2: Convert to fraction form
   12,819.87/17,686.01 = 7,782.14/x
3. Step 3: Cross multiply
   12,819.87x = 17,686.01 × 7,782.14
4. Step 4: Simplify right side
   12,819.87x = 137,635,069.53
5. Step 5: Solve for x
   x = 137,635,069.53/12,819.87
6. Step 6: Final answer
   x = 10,736.07