Finding the Fourth Proportional to 9,771.98, 13,485.35 and 5,738.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771.98 : 13,485.35 = 5,738.03 : x
2. Step 2: Convert to fraction form
   9,771.98/13,485.35 = 5,738.03/x
3. Step 3: Cross multiply
   9,771.98x = 13,485.35 × 5,738.03
4. Step 4: Simplify right side
   9,771.98x = 77,379,246.74
5. Step 5: Solve for x
   x = 77,379,246.74/9,771.98
6. Step 6: Final answer
   x = 7,918.49