Finding the Fourth Proportional to 5,490.82, 7,578.33 and 3,499.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,490.82 : 7,578.33 = 3,499.78 : x
2. Step 2: Convert to fraction form
   5,490.82/7,578.33 = 3,499.78/x
3. Step 3: Cross multiply
   5,490.82x = 7,578.33 × 3,499.78
4. Step 4: Simplify right side
   5,490.82x = 26,522,487.77
5. Step 5: Solve for x
   x = 26,522,487.77/5,490.82
6. Step 6: Final answer
   x = 4,830.33