Finding the Fourth Proportional to 1,692.34, 2,538.72 and 826

Step by Step Solution

1. Step 1: Write the proportion equation
   1,692.34 : 2,538.72 = 826 : x
2. Step 2: Convert to fraction form
   1,692.34/2,538.72 = 826/x
3. Step 3: Cross multiply
   1,692.34x = 2,538.72 × 826
4. Step 4: Simplify right side
   1,692.34x = 2,096,982.72
5. Step 5: Solve for x
   x = 2,096,982.72/1,692.34
6. Step 6: Final answer
   x = 1,239.10