Finding the Fourth Proportional to 10,501.41, 14,491.95 and 5,785.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.41 : 14,491.95 = 5,785.69 : x
2. Step 2: Convert to fraction form
   10,501.41/14,491.95 = 5,785.69/x
3. Step 3: Cross multiply
   10,501.41x = 14,491.95 × 5,785.69
4. Step 4: Simplify right side
   10,501.41x = 83,845,930.20
5. Step 5: Solve for x
   x = 83,845,930.20/10,501.41
6. Step 6: Final answer
   x = 7,984.25