Finding the Fourth Proportional to 9,714.27, 14,584.74 and 5,037.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.27 : 14,584.74 = 5,037.51 : x
2. Step 2: Convert to fraction form
   9,714.27/14,584.74 = 5,037.51/x
3. Step 3: Cross multiply
   9,714.27x = 14,584.74 × 5,037.51
4. Step 4: Simplify right side
   9,714.27x = 73,470,773.60
5. Step 5: Solve for x
   x = 73,470,773.60/9,714.27
6. Step 6: Final answer
   x = 7,563.18