Finding the Fourth Proportional to 10,494.78, 14,482.71 and 5,778.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.78 : 14,482.71 = 5,778.90 : x
2. Step 2: Convert to fraction form
   10,494.78/14,482.71 = 5,778.90/x
3. Step 3: Cross multiply
   10,494.78x = 14,482.71 × 5,778.90
4. Step 4: Simplify right side
   10,494.78x = 83,694,132.82
5. Step 5: Solve for x
   x = 83,694,132.82/10,494.78
6. Step 6: Final answer
   x = 7,974.83