Finding the Fourth Proportional to 14,878.50, 20,533.62 and 8,165.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,878.50 : 20,533.62 = 8,165.42 : x
2. Step 2: Convert to fraction form
   14,878.50/20,533.62 = 8,165.42/x
3. Step 3: Cross multiply
   14,878.50x = 20,533.62 × 8,165.42
4. Step 4: Simplify right side
   14,878.50x = 167,665,590.59
5. Step 5: Solve for x
   x = 167,665,590.59/14,878.50
6. Step 6: Final answer
   x = 11,268.99