Finding the Fourth Proportional to 10,301.14, 14,215.56 and 5,585.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.14 : 14,215.56 = 5,585.41 : x
2. Step 2: Convert to fraction form
   10,301.14/14,215.56 = 5,585.41/x
3. Step 3: Cross multiply
   10,301.14x = 14,215.56 × 5,585.41
4. Step 4: Simplify right side
   10,301.14x = 79,399,730.98
5. Step 5: Solve for x
   x = 79,399,730.98/10,301.14
6. Step 6: Final answer
   x = 7,707.86