Finding the Fourth Proportional to 5,557.40, 7,665.59 and 3,564.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,557.40 : 7,665.59 = 3,564.80 : x
2. Step 2: Convert to fraction form
   5,557.40/7,665.59 = 3,564.80/x
3. Step 3: Cross multiply
   5,557.40x = 7,665.59 × 3,564.80
4. Step 4: Simplify right side
   5,557.40x = 27,326,265.82
5. Step 5: Solve for x
   x = 27,326,265.82/5,557.40
6. Step 6: Final answer
   x = 4,917.10