Finding the Fourth Proportional to 1,026.23, 1,416.71 and 633.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.23 : 1,416.71 = 633.47 : x
2. Step 2: Convert to fraction form
   1,026.23/1,416.71 = 633.47/x
3. Step 3: Cross multiply
   1,026.23x = 1,416.71 × 633.47
4. Step 4: Simplify right side
   1,026.23x = 897,443.28
5. Step 5: Solve for x
   x = 897,443.28/1,026.23
6. Step 6: Final answer
   x = 874.51