Finding the Fourth Proportional to 9,965.10, 14,956.87 and 5,038.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.10 : 14,956.87 = 5,038.18 : x
2. Step 2: Convert to fraction form
   9,965.10/14,956.87 = 5,038.18/x
3. Step 3: Cross multiply
   9,965.10x = 14,956.87 × 5,038.18
4. Step 4: Simplify right side
   9,965.10x = 75,355,403.30
5. Step 5: Solve for x
   x = 75,355,403.30/9,965.10
6. Step 6: Final answer
   x = 7,561.93