Finding the Fourth Proportional to 9,084.42, 12,534.75 and 5,727.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,084.42 : 12,534.75 = 5,727.78 : x
2. Step 2: Convert to fraction form
   9,084.42/12,534.75 = 5,727.78/x
3. Step 3: Cross multiply
   9,084.42x = 12,534.75 × 5,727.78
4. Step 4: Simplify right side
   9,084.42x = 71,796,290.36
5. Step 5: Solve for x
   x = 71,796,290.36/9,084.42
6. Step 6: Final answer
   x = 7,903.23