Finding the Fourth Proportional to 9,186.16, 12,672.84 and 5,458

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.16 : 12,672.84 = 5,458 : x
2. Step 2: Convert to fraction form
   9,186.16/12,672.84 = 5,458/x
3. Step 3: Cross multiply
   9,186.16x = 12,672.84 × 5,458
4. Step 4: Simplify right side
   9,186.16x = 69,168,360.72
5. Step 5: Solve for x
   x = 69,168,360.72/9,186.16
6. Step 6: Final answer
   x = 7,529.63