Finding the Fourth Proportional to 10,501.31, 14,491.81 and 5,785.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.31 : 14,491.81 = 5,785.70 : x
2. Step 2: Convert to fraction form
   10,501.31/14,491.81 = 5,785.70/x
3. Step 3: Cross multiply
   10,501.31x = 14,491.81 × 5,785.70
4. Step 4: Simplify right side
   10,501.31x = 83,845,199.89
5. Step 5: Solve for x
   x = 83,845,199.89/10,501.31
6. Step 6: Final answer
   x = 7,984.26