Finding the Fourth Proportional to 12,742.14, 17,583.55 and 7,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,742.14 : 17,583.55 = 7,077.25 : x
2. Step 2: Convert to fraction form
   12,742.14/17,583.55 = 7,077.25/x
3. Step 3: Cross multiply
   12,742.14x = 17,583.55 × 7,077.25
4. Step 4: Simplify right side
   12,742.14x = 124,443,223.33
5. Step 5: Solve for x
   x = 124,443,223.33/12,742.14
6. Step 6: Final answer
   x = 9,766.27