Finding the Fourth Proportional to 10,181.79, 14,051.12 and 5,644.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181.79 : 14,051.12 = 5,644.38 : x
2. Step 2: Convert to fraction form
   10,181.79/14,051.12 = 5,644.38/x
3. Step 3: Cross multiply
   10,181.79x = 14,051.12 × 5,644.38
4. Step 4: Simplify right side
   10,181.79x = 79,309,832.48
5. Step 5: Solve for x
   x = 79,309,832.48/10,181.79
6. Step 6: Final answer
   x = 7,789.38