Finding the Fourth Proportional to 10,294.21, 14,206.06 and 5,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.21 : 14,206.06 = 5,578.50 : x
2. Step 2: Convert to fraction form
   10,294.21/14,206.06 = 5,578.50/x
3. Step 3: Cross multiply
   10,294.21x = 14,206.06 × 5,578.50
4. Step 4: Simplify right side
   10,294.21x = 79,248,505.71
5. Step 5: Solve for x
   x = 79,248,505.71/10,294.21
6. Step 6: Final answer
   x = 7,698.36