Finding the Fourth Proportional to 1,026.33, 1,415.83 and 648.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.33 : 1,415.83 = 648.05 : x
2. Step 2: Convert to fraction form
   1,026.33/1,415.83 = 648.05/x
3. Step 3: Cross multiply
   1,026.33x = 1,415.83 × 648.05
4. Step 4: Simplify right side
   1,026.33x = 917,530.55
5. Step 5: Solve for x
   x = 917,530.55/1,026.33
6. Step 6: Final answer
   x = 893.99