Finding the Fourth Proportional to 6,548.00, 9,046.82 and 4,567.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,548.00 : 9,046.82 = 4,567.40 : x
2. Step 2: Convert to fraction form
   6,548.00/9,046.82 = 4,567.40/x
3. Step 3: Cross multiply
   6,548.00x = 9,046.82 × 4,567.40
4. Step 4: Simplify right side
   6,548.00x = 41,320,377.60
5. Step 5: Solve for x
   x = 41,320,377.60/6,548.00
6. Step 6: Final answer
   x = 6,310.39