Finding the Fourth Proportional to 9,505.77, 13,118.39 and 5,314.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,505.77 : 13,118.39 = 5,314.02 : x
2. Step 2: Convert to fraction form
   9,505.77/13,118.39 = 5,314.02/x
3. Step 3: Cross multiply
   9,505.77x = 13,118.39 × 5,314.02
4. Step 4: Simplify right side
   9,505.77x = 69,711,294.67
5. Step 5: Solve for x
   x = 69,711,294.67/9,505.77
6. Step 6: Final answer
   x = 7,333.58