Finding the Fourth Proportional to 10,615.71, 14,649.62 and 5,835.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,615.71 : 14,649.62 = 5,835.78 : x
2. Step 2: Convert to fraction form
   10,615.71/14,649.62 = 5,835.78/x
3. Step 3: Cross multiply
   10,615.71x = 14,649.62 × 5,835.78
4. Step 4: Simplify right side
   10,615.71x = 85,491,930.22
5. Step 5: Solve for x
   x = 85,491,930.22/10,615.71
6. Step 6: Final answer
   x = 8,053.34