Finding the Fourth Proportional to 10,486.42, 14,470.71 and 5,769.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.42 : 14,470.71 = 5,769.79 : x
2. Step 2: Convert to fraction form
   10,486.42/14,470.71 = 5,769.79/x
3. Step 3: Cross multiply
   10,486.42x = 14,470.71 × 5,769.79
4. Step 4: Simplify right side
   10,486.42x = 83,492,957.85
5. Step 5: Solve for x
   x = 83,492,957.85/10,486.42
6. Step 6: Final answer
   x = 7,962.01