Finding the Fourth Proportional to 10,485.81, 14,471.12 and 5,770.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,485.81 : 14,471.12 = 5,770.40 : x
2. Step 2: Convert to fraction form
   10,485.81/14,471.12 = 5,770.40/x
3. Step 3: Cross multiply
   10,485.81x = 14,471.12 × 5,770.40
4. Step 4: Simplify right side
   10,485.81x = 83,504,092.92
5. Step 5: Solve for x
   x = 83,504,092.92/10,485.81
6. Step 6: Final answer
   x = 7,963.53