Finding the Fourth Proportional to 9,354.16, 12,907.82 and 5,162.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.16 : 12,907.82 = 5,162.14 : x
2. Step 2: Convert to fraction form
   9,354.16/12,907.82 = 5,162.14/x
3. Step 3: Cross multiply
   9,354.16x = 12,907.82 × 5,162.14
4. Step 4: Simplify right side
   9,354.16x = 66,631,973.93
5. Step 5: Solve for x
   x = 66,631,973.93/9,354.16
6. Step 6: Final answer
   x = 7,123.25