Finding the Fourth Proportional to 9,410.40, 12,984.21 and 5,634.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.40 : 12,984.21 = 5,634.18 : x
2. Step 2: Convert to fraction form
   9,410.40/12,984.21 = 5,634.18/x
3. Step 3: Cross multiply
   9,410.40x = 12,984.21 × 5,634.18
4. Step 4: Simplify right side
   9,410.40x = 73,155,376.30
5. Step 5: Solve for x
   x = 73,155,376.30/9,410.40
6. Step 6: Final answer
   x = 7,773.89