Finding the Fourth Proportional to 9,677.94, 13,357.71 and 6,145.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.94 : 13,357.71 = 6,145.98 : x
2. Step 2: Convert to fraction form
   9,677.94/13,357.71 = 6,145.98/x
3. Step 3: Cross multiply
   9,677.94x = 13,357.71 × 6,145.98
4. Step 4: Simplify right side
   9,677.94x = 82,096,218.51
5. Step 5: Solve for x
   x = 82,096,218.51/9,677.94
6. Step 6: Final answer
   x = 8,482.82