Finding the Fourth Proportional to 9,287.58, 12,802.69 and 5,695.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,287.58 : 12,802.69 = 5,695.89 : x
2. Step 2: Convert to fraction form
   9,287.58/12,802.69 = 5,695.89/x
3. Step 3: Cross multiply
   9,287.58x = 12,802.69 × 5,695.89
4. Step 4: Simplify right side
   9,287.58x = 72,922,641.01
5. Step 5: Solve for x
   x = 72,922,641.01/9,287.58
6. Step 6: Final answer
   x = 7,851.63