Finding the Fourth Proportional to 10,062.66, 13,885.82 and 5,586.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.66 : 13,885.82 = 5,586.42 : x
2. Step 2: Convert to fraction form
   10,062.66/13,885.82 = 5,586.42/x
3. Step 3: Cross multiply
   10,062.66x = 13,885.82 × 5,586.42
4. Step 4: Simplify right side
   10,062.66x = 77,571,994.63
5. Step 5: Solve for x
   x = 77,571,994.63/10,062.66
6. Step 6: Final answer
   x = 7,708.90