Finding the Fourth Proportional to 10,301.72, 14,216.40 and 5,586.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.72 : 14,216.40 = 5,586.02 : x
2. Step 2: Convert to fraction form
   10,301.72/14,216.40 = 5,586.02/x
3. Step 3: Cross multiply
   10,301.72x = 14,216.40 × 5,586.02
4. Step 4: Simplify right side
   10,301.72x = 79,413,094.73
5. Step 5: Solve for x
   x = 79,413,094.73/10,301.72
6. Step 6: Final answer
   x = 7,708.72