Finding the Fourth Proportional to 12,822.66, 17,693.52 and 7,787.94

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822.66 : 17,693.52 = 7,787.94 : x
2. Step 2: Convert to fraction form
   12,822.66/17,693.52 = 7,787.94/x
3. Step 3: Cross multiply
   12,822.66x = 17,693.52 × 7,787.94
4. Step 4: Simplify right side
   12,822.66x = 137,796,072.15
5. Step 5: Solve for x
   x = 137,796,072.15/12,822.66
6. Step 6: Final answer
   x = 10,746.29