Finding the Fourth Proportional to 9,693.14, 14,541.18 and 4,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693.14 : 14,541.18 = 4,146.50 : x
2. Step 2: Convert to fraction form
   9,693.14/14,541.18 = 4,146.50/x
3. Step 3: Cross multiply
   9,693.14x = 14,541.18 × 4,146.50
4. Step 4: Simplify right side
   9,693.14x = 60,295,002.87
5. Step 5: Solve for x
   x = 60,295,002.87/9,693.14
6. Step 6: Final answer
   x = 6,220.38