Finding the Fourth Proportional to 5,561.60, 8,338.56 and 3,825.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,561.60 : 8,338.56 = 3,825.92 : x
2. Step 2: Convert to fraction form
   5,561.60/8,338.56 = 3,825.92/x
3. Step 3: Cross multiply
   5,561.60x = 8,338.56 × 3,825.92
4. Step 4: Simplify right side
   5,561.60x = 31,902,663.48
5. Step 5: Solve for x
   x = 31,902,663.48/5,561.60
6. Step 6: Final answer
   x = 5,736.24