Finding the Fourth Proportional to 799.56, 1,196.34 and 692.76

Step by Step Solution

1. Step 1: Write the proportion equation
   799.56 : 1,196.34 = 692.76 : x
2. Step 2: Convert to fraction form
   799.56/1,196.34 = 692.76/x
3. Step 3: Cross multiply
   799.56x = 1,196.34 × 692.76
4. Step 4: Simplify right side
   799.56x = 828,776.50
5. Step 5: Solve for x
   x = 828,776.50/799.56
6. Step 6: Final answer
   x = 1,036.54