Finding the Fourth Proportional to 8,605.93, 12,905.71 and 5,096.71

Step by Step Solution

1. Step 1: Write the proportion equation
   8,605.93 : 12,905.71 = 5,096.71 : x
2. Step 2: Convert to fraction form
   8,605.93/12,905.71 = 5,096.71/x
3. Step 3: Cross multiply
   8,605.93x = 12,905.71 × 5,096.71
4. Step 4: Simplify right side
   8,605.93x = 65,776,661.21
5. Step 5: Solve for x
   x = 65,776,661.21/8,605.93
6. Step 6: Final answer
   x = 7,643.18