Finding the Fourth Proportional to 6,801.57, 9,393.77 and 4,559.90

Step by Step Solution

1. Step 1: Write the proportion equation
   6,801.57 : 9,393.77 = 4,559.90 : x
2. Step 2: Convert to fraction form
   6,801.57/9,393.77 = 4,559.90/x
3. Step 3: Cross multiply
   6,801.57x = 9,393.77 × 4,559.90
4. Step 4: Simplify right side
   6,801.57x = 42,834,616.25
5. Step 5: Solve for x
   x = 42,834,616.25/6,801.57
6. Step 6: Final answer
   x = 6,297.75