Finding the Fourth Proportional to 10,494.73, 14,481.30 and 5,779.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.73 : 14,481.30 = 5,779.27 : x
2. Step 2: Convert to fraction form
   10,494.73/14,481.30 = 5,779.27/x
3. Step 3: Cross multiply
   10,494.73x = 14,481.30 × 5,779.27
4. Step 4: Simplify right side
   10,494.73x = 83,691,342.65
5. Step 5: Solve for x
   x = 83,691,342.65/10,494.73
6. Step 6: Final answer
   x = 7,974.61