Finding the Fourth Proportional to 10,615.82, 14,649.94 and 5,836.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,615.82 : 14,649.94 = 5,836.01 : x
2. Step 2: Convert to fraction form
   10,615.82/14,649.94 = 5,836.01/x
3. Step 3: Cross multiply
   10,615.82x = 14,649.94 × 5,836.01
4. Step 4: Simplify right side
   10,615.82x = 85,497,196.34
5. Step 5: Solve for x
   x = 85,497,196.34/10,615.82
6. Step 6: Final answer
   x = 8,053.75