Finding the Fourth Proportional to 9,688.14, 14,533.68 and 4,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.14 : 14,533.68 = 4,141.50 : x
2. Step 2: Convert to fraction form
   9,688.14/14,533.68 = 4,141.50/x
3. Step 3: Cross multiply
   9,688.14x = 14,533.68 × 4,141.50
4. Step 4: Simplify right side
   9,688.14x = 60,191,235.72
5. Step 5: Solve for x
   x = 60,191,235.72/9,688.14
6. Step 6: Final answer
   x = 6,212.88