Finding the Fourth Proportional to 10,301.31, 14,215.32 and 5,585.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.31 : 14,215.32 = 5,585.49 : x
2. Step 2: Convert to fraction form
   10,301.31/14,215.32 = 5,585.49/x
3. Step 3: Cross multiply
   10,301.31x = 14,215.32 × 5,585.49
4. Step 4: Simplify right side
   10,301.31x = 79,399,527.71
5. Step 5: Solve for x
   x = 79,399,527.71/10,301.31
6. Step 6: Final answer
   x = 7,707.71