Finding the Fourth Proportional to 1,266.45, 1,746.72 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.45 : 1,746.72 = 824.52 : x
2. Step 2: Convert to fraction form
   1,266.45/1,746.72 = 824.52/x
3. Step 3: Cross multiply
   1,266.45x = 1,746.72 × 824.52
4. Step 4: Simplify right side
   1,266.45x = 1,440,205.57
5. Step 5: Solve for x
   x = 1,440,205.57/1,266.45
6. Step 6: Final answer
   x = 1,137.20