Finding the Fourth Proportional to 10,494.42, 14,482.29 and 5,778.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.42 : 14,482.29 = 5,778.72 : x
2. Step 2: Convert to fraction form
   10,494.42/14,482.29 = 5,778.72/x
3. Step 3: Cross multiply
   10,494.42x = 14,482.29 × 5,778.72
4. Step 4: Simplify right side
   10,494.42x = 83,689,098.87
5. Step 5: Solve for x
   x = 83,689,098.87/10,494.42
6. Step 6: Final answer
   x = 7,974.63