Finding the Fourth Proportional to 1,663.92, 2,296.28 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   1,663.92 : 2,296.28 = 1,026 : x
2. Step 2: Convert to fraction form
   1,663.92/2,296.28 = 1,026/x
3. Step 3: Cross multiply
   1,663.92x = 2,296.28 × 1,026
4. Step 4: Simplify right side
   1,663.92x = 2,355,978.15
5. Step 5: Solve for x
   x = 2,355,978.15/1,663.92
6. Step 6: Final answer
   x = 1,415.92