Finding the Fourth Proportional to 12,822, 17,681.76 and 7,787.04

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822 : 17,681.76 = 7,787.04 : x
2. Step 2: Convert to fraction form
   12,822/17,681.76 = 7,787.04/x
3. Step 3: Cross multiply
   12,822x = 17,681.76 × 7,787.04
4. Step 4: Simplify right side
   12,822x = 137,688,572.39
5. Step 5: Solve for x
   x = 137,688,572.39/12,822
6. Step 6: Final answer
   x = 10,738.46