Finding the Fourth Proportional to 1,188.56, 1,641.50 and 816.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.56 : 1,641.50 = 816.52 : x
2. Step 2: Convert to fraction form
   1,188.56/1,641.50 = 816.52/x
3. Step 3: Cross multiply
   1,188.56x = 1,641.50 × 816.52
4. Step 4: Simplify right side
   1,188.56x = 1,340,317.58
5. Step 5: Solve for x
   x = 1,340,317.58/1,188.56
6. Step 6: Final answer
   x = 1,127.68