Finding the Fourth Proportional to 9,139.98, 13,708.32 and 2,564.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,139.98 : 13,708.32 = 2,564.55 : x
2. Step 2: Convert to fraction form
   9,139.98/13,708.32 = 2,564.55/x
3. Step 3: Cross multiply
   9,139.98x = 13,708.32 × 2,564.55
4. Step 4: Simplify right side
   9,139.98x = 35,155,672.06
5. Step 5: Solve for x
   x = 35,155,672.06/9,139.98
6. Step 6: Final answer
   x = 3,846.36