Finding the Fourth Proportional to 10,494.50, 14,482.41 and 5,778.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.50 : 14,482.41 = 5,778.77 : x
2. Step 2: Convert to fraction form
   10,494.50/14,482.41 = 5,778.77/x
3. Step 3: Cross multiply
   10,494.50x = 14,482.41 × 5,778.77
4. Step 4: Simplify right side
   10,494.50x = 83,690,516.44
5. Step 5: Solve for x
   x = 83,690,516.44/10,494.50
6. Step 6: Final answer
   x = 7,974.70