Finding the Fourth Proportional to 10,301.12, 14,215.56 and 5,585.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.12 : 14,215.56 = 5,585.40 : x
2. Step 2: Convert to fraction form
   10,301.12/14,215.56 = 5,585.40/x
3. Step 3: Cross multiply
   10,301.12x = 14,215.56 × 5,585.40
4. Step 4: Simplify right side
   10,301.12x = 79,399,588.82
5. Step 5: Solve for x
   x = 79,399,588.82/10,301.12
6. Step 6: Final answer
   x = 7,707.86