Finding the Fourth Proportional to 3,782, 5,667.52 and 2,135.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782 : 5,667.52 = 2,135.06 : x
2. Step 2: Convert to fraction form
   3,782/5,667.52 = 2,135.06/x
3. Step 3: Cross multiply
   3,782x = 5,667.52 × 2,135.06
4. Step 4: Simplify right side
   3,782x = 12,100,495.25
5. Step 5: Solve for x
   x = 12,100,495.25/3,782
6. Step 6: Final answer
   x = 3,199.50