Finding the Fourth Proportional to 5,436.42, 7,505.37 and 3,578.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,436.42 : 7,505.37 = 3,578.82 : x
2. Step 2: Convert to fraction form
   5,436.42/7,505.37 = 3,578.82/x
3. Step 3: Cross multiply
   5,436.42x = 7,505.37 × 3,578.82
4. Step 4: Simplify right side
   5,436.42x = 26,860,368.26
5. Step 5: Solve for x
   x = 26,860,368.26/5,436.42
6. Step 6: Final answer
   x = 4,940.82