Finding the Fourth Proportional to 9,866.32, 13,618.56 and 5,677.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,866.32 : 13,618.56 = 5,677.36 : x
2. Step 2: Convert to fraction form
   9,866.32/13,618.56 = 5,677.36/x
3. Step 3: Cross multiply
   9,866.32x = 13,618.56 × 5,677.36
4. Step 4: Simplify right side
   9,866.32x = 77,317,467.80
5. Step 5: Solve for x
   x = 77,317,467.80/9,866.32
6. Step 6: Final answer
   x = 7,836.51