Finding the Fourth Proportional to 10,301.91, 14,216.56 and 5,586.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.91 : 14,216.56 = 5,586.19 : x
2. Step 2: Convert to fraction form
   10,301.91/14,216.56 = 5,586.19/x
3. Step 3: Cross multiply
   10,301.91x = 14,216.56 × 5,586.19
4. Step 4: Simplify right side
   10,301.91x = 79,416,427.21
5. Step 5: Solve for x
   x = 79,416,427.21/10,301.91
6. Step 6: Final answer
   x = 7,708.90