Finding the Fourth Proportional to 2,145.72, 3,214.08 and 1,102.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.72 : 3,214.08 = 1,102.55 : x
2. Step 2: Convert to fraction form
   2,145.72/3,214.08 = 1,102.55/x
3. Step 3: Cross multiply
   2,145.72x = 3,214.08 × 1,102.55
4. Step 4: Simplify right side
   2,145.72x = 3,543,667.83
5. Step 5: Solve for x
   x = 3,543,667.83/2,145.72
6. Step 6: Final answer
   x = 1,651.50