Finding the Fourth Proportional to 1,641.78, 2,266.32 and 1,199.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.78 : 2,266.32 = 1,199.52 : x
2. Step 2: Convert to fraction form
   1,641.78/2,266.32 = 1,199.52/x
3. Step 3: Cross multiply
   1,641.78x = 2,266.32 × 1,199.52
4. Step 4: Simplify right side
   1,641.78x = 2,718,496.17
5. Step 5: Solve for x
   x = 2,718,496.17/1,641.78
6. Step 6: Final answer
   x = 1,655.82