Finding the Fourth Proportional to 1,401.50, 2,102.25 and 427.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.50 : 2,102.25 = 427.59 : x
2. Step 2: Convert to fraction form
   1,401.50/2,102.25 = 427.59/x
3. Step 3: Cross multiply
   1,401.50x = 2,102.25 × 427.59
4. Step 4: Simplify right side
   1,401.50x = 898,898.94
5. Step 5: Solve for x
   x = 898,898.94/1,401.50
6. Step 6: Final answer
   x = 641.39