Finding the Fourth Proportional to 10,501.30, 14,491.96 and 5,785.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.30 : 14,491.96 = 5,785.58 : x
2. Step 2: Convert to fraction form
   10,501.30/14,491.96 = 5,785.58/x
3. Step 3: Cross multiply
   10,501.30x = 14,491.96 × 5,785.58
4. Step 4: Simplify right side
   10,501.30x = 83,844,393.94
5. Step 5: Solve for x
   x = 83,844,393.94/10,501.30
6. Step 6: Final answer
   x = 7,984.19