Finding the Fourth Proportional to 9,878.69, 13,637.54 and 7,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.69 : 13,637.54 = 7,635.50 : x
2. Step 2: Convert to fraction form
   9,878.69/13,637.54 = 7,635.50/x
3. Step 3: Cross multiply
   9,878.69x = 13,637.54 × 7,635.50
4. Step 4: Simplify right side
   9,878.69x = 104,129,387.57
5. Step 5: Solve for x
   x = 104,129,387.57/9,878.69
6. Step 6: Final answer
   x = 10,540.81