Finding the Fourth Proportional to 1,146.02, 1,581.63 and 648.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.02 : 1,581.63 = 648.77 : x
2. Step 2: Convert to fraction form
   1,146.02/1,581.63 = 648.77/x
3. Step 3: Cross multiply
   1,146.02x = 1,581.63 × 648.77
4. Step 4: Simplify right side
   1,146.02x = 1,026,114.10
5. Step 5: Solve for x
   x = 1,026,114.10/1,146.02
6. Step 6: Final answer
   x = 895.37