Finding the Fourth Proportional to 10,301.64, 14,216.20 and 5,585.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.64 : 14,216.20 = 5,585.92 : x
2. Step 2: Convert to fraction form
   10,301.64/14,216.20 = 5,585.92/x
3. Step 3: Cross multiply
   10,301.64x = 14,216.20 × 5,585.92
4. Step 4: Simplify right side
   10,301.64x = 79,410,555.90
5. Step 5: Solve for x
   x = 79,410,555.90/10,301.64
6. Step 6: Final answer
   x = 7,708.54