Finding the Fourth Proportional to 10,501.40, 14,491.86 and 5,785.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.40 : 14,491.86 = 5,785.64 : x
2. Step 2: Convert to fraction form
   10,501.40/14,491.86 = 5,785.64/x
3. Step 3: Cross multiply
   10,501.40x = 14,491.86 × 5,785.64
4. Step 4: Simplify right side
   10,501.40x = 83,844,684.89
5. Step 5: Solve for x
   x = 83,844,684.89/10,501.40
6. Step 6: Final answer
   x = 7,984.14