Finding the Fourth Proportional to 1,762, 2,431.56 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762 : 2,431.56 = 1,026 : x
2. Step 2: Convert to fraction form
   1,762/2,431.56 = 1,026/x
3. Step 3: Cross multiply
   1,762x = 2,431.56 × 1,026
4. Step 4: Simplify right side
   1,762x = 2,494,780.56
5. Step 5: Solve for x
   x = 2,494,780.56/1,762
6. Step 6: Final answer
   x = 1,415.88