Finding the Fourth Proportional to 9,355.34, 12,909.97 and 5,106.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,355.34 : 12,909.97 = 5,106.30 : x
2. Step 2: Convert to fraction form
   9,355.34/12,909.97 = 5,106.30/x
3. Step 3: Cross multiply
   9,355.34x = 12,909.97 × 5,106.30
4. Step 4: Simplify right side
   9,355.34x = 65,922,179.81
5. Step 5: Solve for x
   x = 65,922,179.81/9,355.34
6. Step 6: Final answer
   x = 7,046.48