Finding the Fourth Proportional to 1,189.02, 1,641.23 and 816.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.02 : 1,641.23 = 816.53 : x
2. Step 2: Convert to fraction form
   1,189.02/1,641.23 = 816.53/x
3. Step 3: Cross multiply
   1,189.02x = 1,641.23 × 816.53
4. Step 4: Simplify right side
   1,189.02x = 1,340,104.31
5. Step 5: Solve for x
   x = 1,340,104.31/1,189.02
6. Step 6: Final answer
   x = 1,127.06