Finding the Fourth Proportional to 10,301.13, 14,215.65 and 5,585.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.13 : 14,215.65 = 5,585.46 : x
2. Step 2: Convert to fraction form
   10,301.13/14,215.65 = 5,585.46/x
3. Step 3: Cross multiply
   10,301.13x = 14,215.65 × 5,585.46
4. Step 4: Simplify right side
   10,301.13x = 79,400,944.45
5. Step 5: Solve for x
   x = 79,400,944.45/10,301.13
6. Step 6: Final answer
   x = 7,707.98