Finding the Fourth Proportional to 7,186.17, 9,914.16 and 5,302.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,186.17 : 9,914.16 = 5,302.25 : x
2. Step 2: Convert to fraction form
   7,186.17/9,914.16 = 5,302.25/x
3. Step 3: Cross multiply
   7,186.17x = 9,914.16 × 5,302.25
4. Step 4: Simplify right side
   7,186.17x = 52,567,278.78
5. Step 5: Solve for x
   x = 52,567,278.78/7,186.17
6. Step 6: Final answer
   x = 7,315.06