Finding the Fourth Proportional to 3,733.50, 5,152.23 and 2,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,733.50 : 5,152.23 = 2,077.50 : x
2. Step 2: Convert to fraction form
   3,733.50/5,152.23 = 2,077.50/x
3. Step 3: Cross multiply
   3,733.50x = 5,152.23 × 2,077.50
4. Step 4: Simplify right side
   3,733.50x = 10,703,757.83
5. Step 5: Solve for x
   x = 10,703,757.83/3,733.50
6. Step 6: Final answer
   x = 2,866.95