Finding the Fourth Proportional to 10,301.58, 14,216.14 and 5,585.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.58 : 14,216.14 = 5,585.86 : x
2. Step 2: Convert to fraction form
   10,301.58/14,216.14 = 5,585.86/x
3. Step 3: Cross multiply
   10,301.58x = 14,216.14 × 5,585.86
4. Step 4: Simplify right side
   10,301.58x = 79,409,367.78
5. Step 5: Solve for x
   x = 79,409,367.78/10,301.58
6. Step 6: Final answer
   x = 7,708.46