Finding the Fourth Proportional to 9,185.87, 12,675.16 and 5,406.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.87 : 12,675.16 = 5,406.82 : x
2. Step 2: Convert to fraction form
   9,185.87/12,675.16 = 5,406.82/x
3. Step 3: Cross multiply
   9,185.87x = 12,675.16 × 5,406.82
4. Step 4: Simplify right side
   9,185.87x = 68,532,283.66
5. Step 5: Solve for x
   x = 68,532,283.66/9,185.87
6. Step 6: Final answer
   x = 7,460.62