Finding the Fourth Proportional to 846.21, 1,267.50 and 825.57

Step by Step Solution

1. Step 1: Write the proportion equation
   846.21 : 1,267.50 = 825.57 : x
2. Step 2: Convert to fraction form
   846.21/1,267.50 = 825.57/x
3. Step 3: Cross multiply
   846.21x = 1,267.50 × 825.57
4. Step 4: Simplify right side
   846.21x = 1,046,409.98
5. Step 5: Solve for x
   x = 1,046,409.98/846.21
6. Step 6: Final answer
   x = 1,236.58