Finding the Fourth Proportional to 10,301.02, 14,215.36 and 5,585.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.02 : 14,215.36 = 5,585.30 : x
2. Step 2: Convert to fraction form
   10,301.02/14,215.36 = 5,585.30/x
3. Step 3: Cross multiply
   10,301.02x = 14,215.36 × 5,585.30
4. Step 4: Simplify right side
   10,301.02x = 79,397,071.78
5. Step 5: Solve for x
   x = 79,397,071.78/10,301.02
6. Step 6: Final answer
   x = 7,707.69