Finding the Fourth Proportional to 10,494.31, 14,482.26 and 5,778.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.31 : 14,482.26 = 5,778.76 : x
2. Step 2: Convert to fraction form
   10,494.31/14,482.26 = 5,778.76/x
3. Step 3: Cross multiply
   10,494.31x = 14,482.26 × 5,778.76
4. Step 4: Simplify right side
   10,494.31x = 83,689,504.80
5. Step 5: Solve for x
   x = 83,689,504.80/10,494.31
6. Step 6: Final answer
   x = 7,974.75