Finding the Fourth Proportional to 10,315.61, 14,234.37 and 5,778.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,315.61 : 14,234.37 = 5,778.47 : x
2. Step 2: Convert to fraction form
   10,315.61/14,234.37 = 5,778.47/x
3. Step 3: Cross multiply
   10,315.61x = 14,234.37 × 5,778.47
4. Step 4: Simplify right side
   10,315.61x = 82,252,808.84
5. Step 5: Solve for x
   x = 82,252,808.84/10,315.61
6. Step 6: Final answer
   x = 7,973.63