Finding the Fourth Proportional to 3,827.26, 5,738.01 and 1,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.26 : 5,738.01 = 1,877.50 : x
2. Step 2: Convert to fraction form
   3,827.26/5,738.01 = 1,877.50/x
3. Step 3: Cross multiply
   3,827.26x = 5,738.01 × 1,877.50
4. Step 4: Simplify right side
   3,827.26x = 10,773,113.78
5. Step 5: Solve for x
   x = 10,773,113.78/3,827.26
6. Step 6: Final answer
   x = 2,814.84