Finding the Fourth Proportional to 10,494.26, 14,482.01 and 5,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.26 : 14,482.01 = 5,778.50 : x
2. Step 2: Convert to fraction form
   10,494.26/14,482.01 = 5,778.50/x
3. Step 3: Cross multiply
   10,494.26x = 14,482.01 × 5,778.50
4. Step 4: Simplify right side
   10,494.26x = 83,684,265.89
5. Step 5: Solve for x
   x = 83,684,265.89/10,494.26
6. Step 6: Final answer
   x = 7,974.29