Finding the Fourth Proportional to 6,111.78, 9,149.61 and 4,558.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,111.78 : 9,149.61 = 4,558.59 : x
2. Step 2: Convert to fraction form
   6,111.78/9,149.61 = 4,558.59/x
3. Step 3: Cross multiply
   6,111.78x = 9,149.61 × 4,558.59
4. Step 4: Simplify right side
   6,111.78x = 41,709,320.65
5. Step 5: Solve for x
   x = 41,709,320.65/6,111.78
6. Step 6: Final answer
   x = 6,824.41