Finding the Fourth Proportional to 9,109.25, 12,570.71 and 5,131.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.25 : 12,570.71 = 5,131.64 : x
2. Step 2: Convert to fraction form
   9,109.25/12,570.71 = 5,131.64/x
3. Step 3: Cross multiply
   9,109.25x = 12,570.71 × 5,131.64
4. Step 4: Simplify right side
   9,109.25x = 64,508,358.26
5. Step 5: Solve for x
   x = 64,508,358.26/9,109.25
6. Step 6: Final answer
   x = 7,081.63