Finding the Fourth Proportional to 8,885.75, 12,254.42 and 5,738.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,885.75 : 12,254.42 = 5,738.63 : x
2. Step 2: Convert to fraction form
   8,885.75/12,254.42 = 5,738.63/x
3. Step 3: Cross multiply
   8,885.75x = 12,254.42 × 5,738.63
4. Step 4: Simplify right side
   8,885.75x = 70,323,535.32
5. Step 5: Solve for x
   x = 70,323,535.32/8,885.75
6. Step 6: Final answer
   x = 7,914.20