Finding the Fourth Proportional to 13,166, 19,752.24 and 3,932

Step by Step Solution

1. Step 1: Write the proportion equation
   13,166 : 19,752.24 = 3,932 : x
2. Step 2: Convert to fraction form
   13,166/19,752.24 = 3,932/x
3. Step 3: Cross multiply
   13,166x = 19,752.24 × 3,932
4. Step 4: Simplify right side
   13,166x = 77,665,807.68
5. Step 5: Solve for x
   x = 77,665,807.68/13,166
6. Step 6: Final answer
   x = 5,898.97