Finding the Fourth Proportional to 10,494.70, 14,482.71 and 5,778.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.70 : 14,482.71 = 5,778.99 : x
2. Step 2: Convert to fraction form
   10,494.70/14,482.71 = 5,778.99/x
3. Step 3: Cross multiply
   10,494.70x = 14,482.71 × 5,778.99
4. Step 4: Simplify right side
   10,494.70x = 83,695,436.26
5. Step 5: Solve for x
   x = 83,695,436.26/10,494.70
6. Step 6: Final answer
   x = 7,975.02