Finding the Fourth Proportional to 10,486.14, 14,470.49 and 5,770.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.14 : 14,470.49 = 5,770.32 : x
2. Step 2: Convert to fraction form
   10,486.14/14,470.49 = 5,770.32/x
3. Step 3: Cross multiply
   10,486.14x = 14,470.49 × 5,770.32
4. Step 4: Simplify right side
   10,486.14x = 83,499,329.01
5. Step 5: Solve for x
   x = 83,499,329.01/10,486.14
6. Step 6: Final answer
   x = 7,962.83