Finding the Fourth Proportional to 3,734.16, 5,602.45 and 1,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,734.16 : 5,602.45 = 1,786.50 : x
2. Step 2: Convert to fraction form
   3,734.16/5,602.45 = 1,786.50/x
3. Step 3: Cross multiply
   3,734.16x = 5,602.45 × 1,786.50
4. Step 4: Simplify right side
   3,734.16x = 10,008,776.93
5. Step 5: Solve for x
   x = 10,008,776.93/3,734.16
6. Step 6: Final answer
   x = 2,680.33