Finding the Fourth Proportional to 1,189.56, 1,641.57 and 692.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.56 : 1,641.57 = 692.46 : x
2. Step 2: Convert to fraction form
   1,189.56/1,641.57 = 692.46/x
3. Step 3: Cross multiply
   1,189.56x = 1,641.57 × 692.46
4. Step 4: Simplify right side
   1,189.56x = 1,136,721.56
5. Step 5: Solve for x
   x = 1,136,721.56/1,189.56
6. Step 6: Final answer
   x = 955.58