Finding the Fourth Proportional to 10,301.71, 14,216.37 and 5,585.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.71 : 14,216.37 = 5,585.99 : x
2. Step 2: Convert to fraction form
   10,301.71/14,216.37 = 5,585.99/x
3. Step 3: Cross multiply
   10,301.71x = 14,216.37 × 5,585.99
4. Step 4: Simplify right side
   10,301.71x = 79,412,566.07
5. Step 5: Solve for x
   x = 79,412,566.07/10,301.71
6. Step 6: Final answer
   x = 7,708.68