Finding the Fourth Proportional to 5,100.22, 7,648.92 and 1,401.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.22 : 7,648.92 = 1,401.57 : x
2. Step 2: Convert to fraction form
   5,100.22/7,648.92 = 1,401.57/x
3. Step 3: Cross multiply
   5,100.22x = 7,648.92 × 1,401.57
4. Step 4: Simplify right side
   5,100.22x = 10,720,496.80
5. Step 5: Solve for x
   x = 10,720,496.80/5,100.22
6. Step 6: Final answer
   x = 2,101.97