Finding the Fourth Proportional to 3,864.84, 5,333.58 and 2,294.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.84 : 5,333.58 = 2,294.16 : x
2. Step 2: Convert to fraction form
   3,864.84/5,333.58 = 2,294.16/x
3. Step 3: Cross multiply
   3,864.84x = 5,333.58 × 2,294.16
4. Step 4: Simplify right side
   3,864.84x = 12,236,085.89
5. Step 5: Solve for x
   x = 12,236,085.89/3,864.84
6. Step 6: Final answer
   x = 3,166.00