Finding the Fourth Proportional to 9,164.53, 12,646.42 and 5,185.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.53 : 12,646.42 = 5,185.54 : x
2. Step 2: Convert to fraction form
   9,164.53/12,646.42 = 5,185.54/x
3. Step 3: Cross multiply
   9,164.53x = 12,646.42 × 5,185.54
4. Step 4: Simplify right side
   9,164.53x = 65,578,516.77
5. Step 5: Solve for x
   x = 65,578,516.77/9,164.53
6. Step 6: Final answer
   x = 7,155.69