Finding the Fourth Proportional to 9,171.42, 12,656.43 and 5,585.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,171.42 : 12,656.43 = 5,585.55 : x
2. Step 2: Convert to fraction form
   9,171.42/12,656.43 = 5,585.55/x
3. Step 3: Cross multiply
   9,171.42x = 12,656.43 × 5,585.55
4. Step 4: Simplify right side
   9,171.42x = 70,693,122.59
5. Step 5: Solve for x
   x = 70,693,122.59/9,171.42
6. Step 6: Final answer
   x = 7,707.98