Finding the Fourth Proportional to 10,300.96, 14,215.36 and 5,585.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.96 : 14,215.36 = 5,585.24 : x
2. Step 2: Convert to fraction form
   10,300.96/14,215.36 = 5,585.24/x
3. Step 3: Cross multiply
   10,300.96x = 14,215.36 × 5,585.24
4. Step 4: Simplify right side
   10,300.96x = 79,396,197.29
5. Step 5: Solve for x
   x = 79,396,197.29/10,300.96
6. Step 6: Final answer
   x = 7,707.65