Finding the Fourth Proportional to 6,574.50, 9,866.61 and 3,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,574.50 : 9,866.61 = 3,111.75 : x
2. Step 2: Convert to fraction form
   6,574.50/9,866.61 = 3,111.75/x
3. Step 3: Cross multiply
   6,574.50x = 9,866.61 × 3,111.75
4. Step 4: Simplify right side
   6,574.50x = 30,702,423.67
5. Step 5: Solve for x
   x = 30,702,423.67/6,574.50
6. Step 6: Final answer
   x = 4,669.93