Finding the Fourth Proportional to 1,401.70, 2,104.15 and 824.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.70 : 2,104.15 = 824.90 : x
2. Step 2: Convert to fraction form
   1,401.70/2,104.15 = 824.90/x
3. Step 3: Cross multiply
   1,401.70x = 2,104.15 × 824.90
4. Step 4: Simplify right side
   1,401.70x = 1,735,713.34
5. Step 5: Solve for x
   x = 1,735,713.34/1,401.70
6. Step 6: Final answer
   x = 1,238.29