Finding the Fourth Proportional to 9,164.91, 12,647.55 and 5,186.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.91 : 12,647.55 = 5,186.34 : x
2. Step 2: Convert to fraction form
   9,164.91/12,647.55 = 5,186.34/x
3. Step 3: Cross multiply
   9,164.91x = 12,647.55 × 5,186.34
4. Step 4: Simplify right side
   9,164.91x = 65,594,494.47
5. Step 5: Solve for x
   x = 65,594,494.47/9,164.91
6. Step 6: Final answer
   x = 7,157.13