Finding the Fourth Proportional to 9,270.64, 12,791.28 and 5,636.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,270.64 : 12,791.28 = 5,636.58 : x
2. Step 2: Convert to fraction form
   9,270.64/12,791.28 = 5,636.58/x
3. Step 3: Cross multiply
   9,270.64x = 12,791.28 × 5,636.58
4. Step 4: Simplify right side
   9,270.64x = 72,099,073.02
5. Step 5: Solve for x
   x = 72,099,073.02/9,270.64
6. Step 6: Final answer
   x = 7,777.14