Finding the Fourth Proportional to 1,022.45, 1,410.84 and 648.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.45 : 1,410.84 = 648.77 : x
2. Step 2: Convert to fraction form
   1,022.45/1,410.84 = 648.77/x
3. Step 3: Cross multiply
   1,022.45x = 1,410.84 × 648.77
4. Step 4: Simplify right side
   1,022.45x = 915,303.61
5. Step 5: Solve for x
   x = 915,303.61/1,022.45
6. Step 6: Final answer
   x = 895.21