Finding the Fourth Proportional to 10,447.35, 14,417.23 and 5,731.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,447.35 : 14,417.23 = 5,731.63 : x
2. Step 2: Convert to fraction form
   10,447.35/14,417.23 = 5,731.63/x
3. Step 3: Cross multiply
   10,447.35x = 14,417.23 × 5,731.63
4. Step 4: Simplify right side
   10,447.35x = 82,634,227.98
5. Step 5: Solve for x
   x = 82,634,227.98/10,447.35
6. Step 6: Final answer
   x = 7,909.59