Finding the Fourth Proportional to 1,146.11, 1,581.59 and 648.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.11 : 1,581.59 = 648.78 : x
2. Step 2: Convert to fraction form
   1,146.11/1,581.59 = 648.78/x
3. Step 3: Cross multiply
   1,146.11x = 1,581.59 × 648.78
4. Step 4: Simplify right side
   1,146.11x = 1,026,097.75
5. Step 5: Solve for x
   x = 1,026,097.75/1,146.11
6. Step 6: Final answer
   x = 895.29