Finding the Fourth Proportional to 3,767.50, 5,199.18 and 2,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.50 : 5,199.18 = 2,111.50 : x
2. Step 2: Convert to fraction form
   3,767.50/5,199.18 = 2,111.50/x
3. Step 3: Cross multiply
   3,767.50x = 5,199.18 × 2,111.50
4. Step 4: Simplify right side
   3,767.50x = 10,978,068.57
5. Step 5: Solve for x
   x = 10,978,068.57/3,767.50
6. Step 6: Final answer
   x = 2,913.89