Finding the Fourth Proportional to 9,506.92, 13,118.82 and 5,314.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506.92 : 13,118.82 = 5,314.60 : x
2. Step 2: Convert to fraction form
   9,506.92/13,118.82 = 5,314.60/x
3. Step 3: Cross multiply
   9,506.92x = 13,118.82 × 5,314.60
4. Step 4: Simplify right side
   9,506.92x = 69,721,280.77
5. Step 5: Solve for x
   x = 69,721,280.77/9,506.92
6. Step 6: Final answer
   x = 7,333.74