Finding the Fourth Proportional to 9,506.10, 13,118.45 and 5,314.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506.10 : 13,118.45 = 5,314.35 : x
2. Step 2: Convert to fraction form
   9,506.10/13,118.45 = 5,314.35/x
3. Step 3: Cross multiply
   9,506.10x = 13,118.45 × 5,314.35
4. Step 4: Simplify right side
   9,506.10x = 69,716,034.76
5. Step 5: Solve for x
   x = 69,716,034.76/9,506.10
6. Step 6: Final answer
   x = 7,333.82