Finding the Fourth Proportional to 9,617.76, 13,271.76 and 5,638.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,617.76 : 13,271.76 = 5,638.32 : x
2. Step 2: Convert to fraction form
   9,617.76/13,271.76 = 5,638.32/x
3. Step 3: Cross multiply
   9,617.76x = 13,271.76 × 5,638.32
4. Step 4: Simplify right side
   9,617.76x = 74,830,429.84
5. Step 5: Solve for x
   x = 74,830,429.84/9,617.76
6. Step 6: Final answer
   x = 7,780.44