Finding the Fourth Proportional to 9,164.86, 12,647.51 and 5,185.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.86 : 12,647.51 = 5,185.89 : x
2. Step 2: Convert to fraction form
   9,164.86/12,647.51 = 5,185.89/x
3. Step 3: Cross multiply
   9,164.86x = 12,647.51 × 5,185.89
4. Step 4: Simplify right side
   9,164.86x = 65,588,569.70
5. Step 5: Solve for x
   x = 65,588,569.70/9,164.86
6. Step 6: Final answer
   x = 7,156.53