Finding the Fourth Proportional to 9,505.76, 13,118.16 and 5,314.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,505.76 : 13,118.16 = 5,314.40 : x
2. Step 2: Convert to fraction form
   9,505.76/13,118.16 = 5,314.40/x
3. Step 3: Cross multiply
   9,505.76x = 13,118.16 × 5,314.40
4. Step 4: Simplify right side
   9,505.76x = 69,715,149.50
5. Step 5: Solve for x
   x = 69,715,149.50/9,505.76
6. Step 6: Final answer
   x = 7,333.99