Finding the Fourth Proportional to 6,548.58, 9,036.78 and 3,564.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,548.58 : 9,036.78 = 3,564.42 : x
2. Step 2: Convert to fraction form
   6,548.58/9,036.78 = 3,564.42/x
3. Step 3: Cross multiply
   6,548.58x = 9,036.78 × 3,564.42
4. Step 4: Simplify right side
   6,548.58x = 32,210,887.96
5. Step 5: Solve for x
   x = 32,210,887.96/6,548.58
6. Step 6: Final answer
   x = 4,918.76