Finding the Fourth Proportional to 9,835.78, 13,542.02 and 9,165.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,835.78 : 13,542.02 = 9,165.10 : x
2. Step 2: Convert to fraction form
   9,835.78/13,542.02 = 9,165.10/x
3. Step 3: Cross multiply
   9,835.78x = 13,542.02 × 9,165.10
4. Step 4: Simplify right side
   9,835.78x = 124,113,967.50
5. Step 5: Solve for x
   x = 124,113,967.50/9,835.78
6. Step 6: Final answer
   x = 12,618.62