Finding the Fourth Proportional to 10,485.14, 14,469.47 and 5,769.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,485.14 : 14,469.47 = 5,769.42 : x
2. Step 2: Convert to fraction form
   10,485.14/14,469.47 = 5,769.42/x
3. Step 3: Cross multiply
   10,485.14x = 14,469.47 × 5,769.42
4. Step 4: Simplify right side
   10,485.14x = 83,480,518.29
5. Step 5: Solve for x
   x = 83,480,518.29/10,485.14
6. Step 6: Final answer
   x = 7,961.79