Finding the Fourth Proportional to 9,837.02, 13,574.58 and 5,645

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837.02 : 13,574.58 = 5,645 : x
2. Step 2: Convert to fraction form
   9,837.02/13,574.58 = 5,645/x
3. Step 3: Cross multiply
   9,837.02x = 13,574.58 × 5,645
4. Step 4: Simplify right side
   9,837.02x = 76,628,504.10
5. Step 5: Solve for x
   x = 76,628,504.10/9,837.02
6. Step 6: Final answer
   x = 7,789.81