Finding the Fourth Proportional to 9,836.50, 13,574.94 and 5,645.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.50 : 13,574.94 = 5,645.02 : x
2. Step 2: Convert to fraction form
   9,836.50/13,574.94 = 5,645.02/x
3. Step 3: Cross multiply
   9,836.50x = 13,574.94 × 5,645.02
4. Step 4: Simplify right side
   9,836.50x = 76,630,807.80
5. Step 5: Solve for x
   x = 76,630,807.80/9,836.50
6. Step 6: Final answer
   x = 7,790.45