Finding the Fourth Proportional to 10,301.56, 14,216.03 and 5,585.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.56 : 14,216.03 = 5,585.83 : x
2. Step 2: Convert to fraction form
   10,301.56/14,216.03 = 5,585.83/x
3. Step 3: Cross multiply
   10,301.56x = 14,216.03 × 5,585.83
4. Step 4: Simplify right side
   10,301.56x = 79,408,298.93
5. Step 5: Solve for x
   x = 79,408,298.93/10,301.56
6. Step 6: Final answer
   x = 7,708.38