Finding the Fourth Proportional to 10,300.97, 14,215.30 and 5,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.97 : 14,215.30 = 5,585.25 : x
2. Step 2: Convert to fraction form
   10,300.97/14,215.30 = 5,585.25/x
3. Step 3: Cross multiply
   10,300.97x = 14,215.30 × 5,585.25
4. Step 4: Simplify right side
   10,300.97x = 79,396,043.67
5. Step 5: Solve for x
   x = 79,396,043.67/10,300.97
6. Step 6: Final answer
   x = 7,707.63