Finding the Fourth Proportional to 9,417.01, 12,994.57 and 5,639.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,417.01 : 12,994.57 = 5,639.47 : x
2. Step 2: Convert to fraction form
   9,417.01/12,994.57 = 5,639.47/x
3. Step 3: Cross multiply
   9,417.01x = 12,994.57 × 5,639.47
4. Step 4: Simplify right side
   9,417.01x = 73,282,487.68
5. Step 5: Solve for x
   x = 73,282,487.68/9,417.01
6. Step 6: Final answer
   x = 7,781.93