Finding the Fourth Proportional to 2,655.42, 3,984.25 and 1,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.42 : 3,984.25 = 1,422.50 : x
2. Step 2: Convert to fraction form
   2,655.42/3,984.25 = 1,422.50/x
3. Step 3: Cross multiply
   2,655.42x = 3,984.25 × 1,422.50
4. Step 4: Simplify right side
   2,655.42x = 5,667,595.63
5. Step 5: Solve for x
   x = 5,667,595.63/2,655.42
6. Step 6: Final answer
   x = 2,134.35