Finding the Fourth Proportional to 10,485.92, 14,470.02 and 5,769.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,485.92 : 14,470.02 = 5,769.30 : x
2. Step 2: Convert to fraction form
   10,485.92/14,470.02 = 5,769.30/x
3. Step 3: Cross multiply
   10,485.92x = 14,470.02 × 5,769.30
4. Step 4: Simplify right side
   10,485.92x = 83,481,886.39
5. Step 5: Solve for x
   x = 83,481,886.39/10,485.92
6. Step 6: Final answer
   x = 7,961.33