Finding the Fourth Proportional to 3,727.50, 5,582.72 and 1,781.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.50 : 5,582.72 = 1,781.06 : x
2. Step 2: Convert to fraction form
   3,727.50/5,582.72 = 1,781.06/x
3. Step 3: Cross multiply
   3,727.50x = 5,582.72 × 1,781.06
4. Step 4: Simplify right side
   3,727.50x = 9,943,159.28
5. Step 5: Solve for x
   x = 9,943,159.28/3,727.50
6. Step 6: Final answer
   x = 2,667.51