Finding the Fourth Proportional to 1,026.58, 1,539.82 and 296.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.58 : 1,539.82 = 296.15 : x
2. Step 2: Convert to fraction form
   1,026.58/1,539.82 = 296.15/x
3. Step 3: Cross multiply
   1,026.58x = 1,539.82 × 296.15
4. Step 4: Simplify right side
   1,026.58x = 456,017.69
5. Step 5: Solve for x
   x = 456,017.69/1,026.58
6. Step 6: Final answer
   x = 444.21