Finding the Fourth Proportional to 4,164.18, 5,742.78 and 2,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,164.18 : 5,742.78 = 2,764.50 : x
2. Step 2: Convert to fraction form
   4,164.18/5,742.78 = 2,764.50/x
3. Step 3: Cross multiply
   4,164.18x = 5,742.78 × 2,764.50
4. Step 4: Simplify right side
   4,164.18x = 15,875,915.31
5. Step 5: Solve for x
   x = 15,875,915.31/4,164.18
6. Step 6: Final answer
   x = 3,812.49