Finding the Fourth Proportional to 10,144.83, 14,000.16 and 5,669.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144.83 : 14,000.16 = 5,669.08 : x
2. Step 2: Convert to fraction form
   10,144.83/14,000.16 = 5,669.08/x
3. Step 3: Cross multiply
   10,144.83x = 14,000.16 × 5,669.08
4. Step 4: Simplify right side
   10,144.83x = 79,368,027.05
5. Step 5: Solve for x
   x = 79,368,027.05/10,144.83
6. Step 6: Final answer
   x = 7,823.50