Finding the Fourth Proportional to 17,822.66, 24,592.56 and 10,166

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822.66 : 24,592.56 = 10,166 : x
2. Step 2: Convert to fraction form
   17,822.66/24,592.56 = 10,166/x
3. Step 3: Cross multiply
   17,822.66x = 24,592.56 × 10,166
4. Step 4: Simplify right side
   17,822.66x = 250,007,964.96
5. Step 5: Solve for x
   x = 250,007,964.96/17,822.66
6. Step 6: Final answer
   x = 14,027.53