Finding the Fourth Proportional to 9,617.74, 13,271.58 and 5,583.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,617.74 : 13,271.58 = 5,583.49 : x
2. Step 2: Convert to fraction form
   9,617.74/13,271.58 = 5,583.49/x
3. Step 3: Cross multiply
   9,617.74x = 13,271.58 × 5,583.49
4. Step 4: Simplify right side
   9,617.74x = 74,101,734.21
5. Step 5: Solve for x
   x = 74,101,734.21/9,617.74
6. Step 6: Final answer
   x = 7,704.69