Finding the Fourth Proportional to 1,724.67, 2,380.05 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   1,724.67 : 2,380.05 = 1,026 : x
2. Step 2: Convert to fraction form
   1,724.67/2,380.05 = 1,026/x
3. Step 3: Cross multiply
   1,724.67x = 2,380.05 × 1,026
4. Step 4: Simplify right side
   1,724.67x = 2,441,931.30
5. Step 5: Solve for x
   x = 2,441,931.30/1,724.67
6. Step 6: Final answer
   x = 1,415.88