Finding the Fourth Proportional to 12,787.82, 17,647.23 and 7,411.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,787.82 : 17,647.23 = 7,411.30 : x
2. Step 2: Convert to fraction form
   12,787.82/17,647.23 = 7,411.30/x
3. Step 3: Cross multiply
   12,787.82x = 17,647.23 × 7,411.30
4. Step 4: Simplify right side
   12,787.82x = 130,788,983.41
5. Step 5: Solve for x
   x = 130,788,983.41/12,787.82
6. Step 6: Final answer
   x = 10,227.62