Finding the Fourth Proportional to 9,477.29, 14,188.41 and 5,516.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,477.29 : 14,188.41 = 5,516.46 : x
2. Step 2: Convert to fraction form
   9,477.29/14,188.41 = 5,516.46/x
3. Step 3: Cross multiply
   9,477.29x = 14,188.41 × 5,516.46
4. Step 4: Simplify right side
   9,477.29x = 78,269,796.23
5. Step 5: Solve for x
   x = 78,269,796.23/9,477.29
6. Step 6: Final answer
   x = 8,258.67