Finding the Fourth Proportional to 1,401.48, 2,102.33 and 427.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.48 : 2,102.33 = 427.59 : x
2. Step 2: Convert to fraction form
   1,401.48/2,102.33 = 427.59/x
3. Step 3: Cross multiply
   1,401.48x = 2,102.33 × 427.59
4. Step 4: Simplify right side
   1,401.48x = 898,935.28
5. Step 5: Solve for x
   x = 898,935.28/1,401.48
6. Step 6: Final answer
   x = 641.42