Finding the Fourth Proportional to 9,677.46, 13,355.74 and 5,696.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.46 : 13,355.74 = 5,696.58 : x
2. Step 2: Convert to fraction form
   9,677.46/13,355.74 = 5,696.58/x
3. Step 3: Cross multiply
   9,677.46x = 13,355.74 × 5,696.58
4. Step 4: Simplify right side
   9,677.46x = 76,082,041.37
5. Step 5: Solve for x
   x = 76,082,041.37/9,677.46
6. Step 6: Final answer
   x = 7,861.78