Finding the Fourth Proportional to 9,414.63, 12,994.83 and 5,640.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.63 : 12,994.83 = 5,640.23 : x
2. Step 2: Convert to fraction form
   9,414.63/12,994.83 = 5,640.23/x
3. Step 3: Cross multiply
   9,414.63x = 12,994.83 × 5,640.23
4. Step 4: Simplify right side
   9,414.63x = 73,293,862.50
5. Step 5: Solve for x
   x = 73,293,862.50/9,414.63
6. Step 6: Final answer
   x = 7,785.10