Finding the Fourth Proportional to 10,062.26, 13,885.74 and 5,585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.26 : 13,885.74 = 5,585.78 : x
2. Step 2: Convert to fraction form
   10,062.26/13,885.74 = 5,585.78/x
3. Step 3: Cross multiply
   10,062.26x = 13,885.74 × 5,585.78
4. Step 4: Simplify right side
   10,062.26x = 77,562,688.78
5. Step 5: Solve for x
   x = 77,562,688.78/10,062.26
6. Step 6: Final answer
   x = 7,708.28