Finding the Fourth Proportional to 6,906.25, 9,536.72 and 5,134.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.25 : 9,536.72 = 5,134.78 : x
2. Step 2: Convert to fraction form
   6,906.25/9,536.72 = 5,134.78/x
3. Step 3: Cross multiply
   6,906.25x = 9,536.72 × 5,134.78
4. Step 4: Simplify right side
   6,906.25x = 48,968,920.61
5. Step 5: Solve for x
   x = 48,968,920.61/6,906.25
6. Step 6: Final answer
   x = 7,090.53