Finding the Fourth Proportional to 10,301.59, 14,216.20 and 5,585.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.59 : 14,216.20 = 5,585.87 : x
2. Step 2: Convert to fraction form
   10,301.59/14,216.20 = 5,585.87/x
3. Step 3: Cross multiply
   10,301.59x = 14,216.20 × 5,585.87
4. Step 4: Simplify right side
   10,301.59x = 79,409,894.60
5. Step 5: Solve for x
   x = 79,409,894.60/10,301.59
6. Step 6: Final answer
   x = 7,708.51