Finding the Fourth Proportional to 10,301.37, 14,215.84 and 5,585.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.37 : 14,215.84 = 5,585.64 : x
2. Step 2: Convert to fraction form
   10,301.37/14,215.84 = 5,585.64/x
3. Step 3: Cross multiply
   10,301.37x = 14,215.84 × 5,585.64
4. Step 4: Simplify right side
   10,301.37x = 79,404,564.54
5. Step 5: Solve for x
   x = 79,404,564.54/10,301.37
6. Step 6: Final answer
   x = 7,708.16