Finding the Fourth Proportional to 3,762.86, 5,641.25 and 2,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.86 : 5,641.25 = 2,664.50 : x
2. Step 2: Convert to fraction form
   3,762.86/5,641.25 = 2,664.50/x
3. Step 3: Cross multiply
   3,762.86x = 5,641.25 × 2,664.50
4. Step 4: Simplify right side
   3,762.86x = 15,031,069.10
5. Step 5: Solve for x
   x = 15,031,069.10/3,762.86
6. Step 6: Final answer
   x = 3,994.59