Finding the Fourth Proportional to 9,677.05, 13,355.56 and 5,698.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.05 : 13,355.56 = 5,698.53 : x
2. Step 2: Convert to fraction form
   9,677.05/13,355.56 = 5,698.53/x
3. Step 3: Cross multiply
   9,677.05x = 13,355.56 × 5,698.53
4. Step 4: Simplify right side
   9,677.05x = 76,107,045.08
5. Step 5: Solve for x
   x = 76,107,045.08/9,677.05
6. Step 6: Final answer
   x = 7,864.70