Finding the Fourth Proportional to 9,500.23, 14,256.47 and 5,120.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500.23 : 14,256.47 = 5,120.74 : x
2. Step 2: Convert to fraction form
   9,500.23/14,256.47 = 5,120.74/x
3. Step 3: Cross multiply
   9,500.23x = 14,256.47 × 5,120.74
4. Step 4: Simplify right side
   9,500.23x = 73,003,676.19
5. Step 5: Solve for x
   x = 73,003,676.19/9,500.23
6. Step 6: Final answer
   x = 7,684.41