Finding the Fourth Proportional to 9,411.90, 12,984.96 and 5,635.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.90 : 12,984.96 = 5,635.14 : x
2. Step 2: Convert to fraction form
   9,411.90/12,984.96 = 5,635.14/x
3. Step 3: Cross multiply
   9,411.90x = 12,984.96 × 5,635.14
4. Step 4: Simplify right side
   9,411.90x = 73,172,067.49
5. Step 5: Solve for x
   x = 73,172,067.49/9,411.90
6. Step 6: Final answer
   x = 7,774.42