Finding the Fourth Proportional to 9,414.10, 12,990.10 and 5,636.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.10 : 12,990.10 = 5,636.36 : x
2. Step 2: Convert to fraction form
   9,414.10/12,990.10 = 5,636.36/x
3. Step 3: Cross multiply
   9,414.10x = 12,990.10 × 5,636.36
4. Step 4: Simplify right side
   9,414.10x = 73,216,815.09
5. Step 5: Solve for x
   x = 73,216,815.09/9,414.10
6. Step 6: Final answer
   x = 7,777.36