Finding the Fourth Proportional to 5,205.42, 7,802.64 and 3,561.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,205.42 : 7,802.64 = 3,561.52 : x
2. Step 2: Convert to fraction form
   5,205.42/7,802.64 = 3,561.52/x
3. Step 3: Cross multiply
   5,205.42x = 7,802.64 × 3,561.52
4. Step 4: Simplify right side
   5,205.42x = 27,789,258.41
5. Step 5: Solve for x
   x = 27,789,258.41/5,205.42
6. Step 6: Final answer
   x = 5,338.52