Finding the Fourth Proportional to 9,164.17, 12,646.48 and 5,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.17 : 12,646.48 = 5,185.25 : x
2. Step 2: Convert to fraction form
   9,164.17/12,646.48 = 5,185.25/x
3. Step 3: Cross multiply
   9,164.17x = 12,646.48 × 5,185.25
4. Step 4: Simplify right side
   9,164.17x = 65,575,160.42
5. Step 5: Solve for x
   x = 65,575,160.42/9,164.17
6. Step 6: Final answer
   x = 7,155.60