Finding the Fourth Proportional to 9,677.80, 13,355.04 and 5,485.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.80 : 13,355.04 = 5,485.78 : x
2. Step 2: Convert to fraction form
   9,677.80/13,355.04 = 5,485.78/x
3. Step 3: Cross multiply
   9,677.80x = 13,355.04 × 5,485.78
4. Step 4: Simplify right side
   9,677.80x = 73,262,811.33
5. Step 5: Solve for x
   x = 73,262,811.33/9,677.80
6. Step 6: Final answer
   x = 7,570.19