Finding the Fourth Proportional to 9,314.76, 12,854.61 and 5,066.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.76 : 12,854.61 = 5,066.09 : x
2. Step 2: Convert to fraction form
   9,314.76/12,854.61 = 5,066.09/x
3. Step 3: Cross multiply
   9,314.76x = 12,854.61 × 5,066.09
4. Step 4: Simplify right side
   9,314.76x = 65,122,546.90
5. Step 5: Solve for x
   x = 65,122,546.90/9,314.76
6. Step 6: Final answer
   x = 6,991.33