Finding the Fourth Proportional to 7,185.92, 9,904.56 and 5,686.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,185.92 : 9,904.56 = 5,686.88 : x
2. Step 2: Convert to fraction form
   7,185.92/9,904.56 = 5,686.88/x
3. Step 3: Cross multiply
   7,185.92x = 9,904.56 × 5,686.88
4. Step 4: Simplify right side
   7,185.92x = 56,326,044.17
5. Step 5: Solve for x
   x = 56,326,044.17/7,185.92
6. Step 6: Final answer
   x = 7,838.39