Finding the Fourth Proportional to 9,885.94, 13,647.56 and 7,642.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.94 : 13,647.56 = 7,642.74 : x
2. Step 2: Convert to fraction form
   9,885.94/13,647.56 = 7,642.74/x
3. Step 3: Cross multiply
   9,885.94x = 13,647.56 × 7,642.74
4. Step 4: Simplify right side
   9,885.94x = 104,304,752.71
5. Step 5: Solve for x
   x = 104,304,752.71/9,885.94
6. Step 6: Final answer
   x = 10,550.82