Finding the Fourth Proportional to 9,164.66, 12,647.86 and 5,185.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.66 : 12,647.86 = 5,185.76 : x
2. Step 2: Convert to fraction form
   9,164.66/12,647.86 = 5,185.76/x
3. Step 3: Cross multiply
   9,164.66x = 12,647.86 × 5,185.76
4. Step 4: Simplify right side
   9,164.66x = 65,588,766.47
5. Step 5: Solve for x
   x = 65,588,766.47/9,164.66
6. Step 6: Final answer
   x = 7,156.70