Finding the Fourth Proportional to 9,688.28, 14,533.72 and 3,116.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.28 : 14,533.72 = 3,116.48 : x
2. Step 2: Convert to fraction form
   9,688.28/14,533.72 = 3,116.48/x
3. Step 3: Cross multiply
   9,688.28x = 14,533.72 × 3,116.48
4. Step 4: Simplify right side
   9,688.28x = 45,293,967.25
5. Step 5: Solve for x
   x = 45,293,967.25/9,688.28
6. Step 6: Final answer
   x = 4,675.13