Finding the Fourth Proportional to 10,301.50, 14,216.08 and 5,585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.50 : 14,216.08 = 5,585.78 : x
2. Step 2: Convert to fraction form
   10,301.50/14,216.08 = 5,585.78/x
3. Step 3: Cross multiply
   10,301.50x = 14,216.08 × 5,585.78
4. Step 4: Simplify right side
   10,301.50x = 79,407,935.42
5. Step 5: Solve for x
   x = 79,407,935.42/10,301.50
6. Step 6: Final answer
   x = 7,708.38