Finding the Fourth Proportional to 9,714.50, 14,570.49 and 3,140.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.50 : 14,570.49 = 3,140.02 : x
2. Step 2: Convert to fraction form
   9,714.50/14,570.49 = 3,140.02/x
3. Step 3: Cross multiply
   9,714.50x = 14,570.49 × 3,140.02
4. Step 4: Simplify right side
   9,714.50x = 45,751,630.01
5. Step 5: Solve for x
   x = 45,751,630.01/9,714.50
6. Step 6: Final answer
   x = 4,709.62