Finding the Fourth Proportional to 9,674.17, 13,352.56 and 5,696.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.17 : 13,352.56 = 5,696.57 : x
2. Step 2: Convert to fraction form
   9,674.17/13,352.56 = 5,696.57/x
3. Step 3: Cross multiply
   9,674.17x = 13,352.56 × 5,696.57
4. Step 4: Simplify right side
   9,674.17x = 76,063,792.72
5. Step 5: Solve for x
   x = 76,063,792.72/9,674.17
6. Step 6: Final answer
   x = 7,862.57