Finding the Fourth Proportional to 10,062.88, 13,885.84 and 5,585.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.88 : 13,885.84 = 5,585.60 : x
2. Step 2: Convert to fraction form
   10,062.88/13,885.84 = 5,585.60/x
3. Step 3: Cross multiply
   10,062.88x = 13,885.84 × 5,585.60
4. Step 4: Simplify right side
   10,062.88x = 77,560,747.90
5. Step 5: Solve for x
   x = 77,560,747.90/10,062.88
6. Step 6: Final answer
   x = 7,707.61