Finding the Fourth Proportional to 9,685.31, 13,367.09 and 5,653.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.31 : 13,367.09 = 5,653.46 : x
2. Step 2: Convert to fraction form
   9,685.31/13,367.09 = 5,653.46/x
3. Step 3: Cross multiply
   9,685.31x = 13,367.09 × 5,653.46
4. Step 4: Simplify right side
   9,685.31x = 75,570,213.53
5. Step 5: Solve for x
   x = 75,570,213.53/9,685.31
6. Step 6: Final answer
   x = 7,802.56