Finding the Fourth Proportional to 10,294.63, 14,206.53 and 5,578.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.63 : 14,206.53 = 5,578.81 : x
2. Step 2: Convert to fraction form
   10,294.63/14,206.53 = 5,578.81/x
3. Step 3: Cross multiply
   10,294.63x = 14,206.53 × 5,578.81
4. Step 4: Simplify right side
   10,294.63x = 79,255,531.63
5. Step 5: Solve for x
   x = 79,255,531.63/10,294.63
6. Step 6: Final answer
   x = 7,698.73