Finding the Fourth Proportional to 10,501.38, 14,491.91 and 5,785.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.38 : 14,491.91 = 5,785.77 : x
2. Step 2: Convert to fraction form
   10,501.38/14,491.91 = 5,785.77/x
3. Step 3: Cross multiply
   10,501.38x = 14,491.91 × 5,785.77
4. Step 4: Simplify right side
   10,501.38x = 83,846,858.12
5. Step 5: Solve for x
   x = 83,846,858.12/10,501.38
6. Step 6: Final answer
   x = 7,984.37