Finding the Fourth Proportional to 6,569.11, 9,066.54 and 3,916.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.11 : 9,066.54 = 3,916.69 : x
2. Step 2: Convert to fraction form
   6,569.11/9,066.54 = 3,916.69/x
3. Step 3: Cross multiply
   6,569.11x = 9,066.54 × 3,916.69
4. Step 4: Simplify right side
   6,569.11x = 35,510,826.55
5. Step 5: Solve for x
   x = 35,510,826.55/6,569.11
6. Step 6: Final answer
   x = 5,405.73