Finding the Fourth Proportional to 1,492.56, 2,059.83 and 1,026

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.56 : 2,059.83 = 1,026 : x
2. Step 2: Convert to fraction form
   1,492.56/2,059.83 = 1,026/x
3. Step 3: Cross multiply
   1,492.56x = 2,059.83 × 1,026
4. Step 4: Simplify right side
   1,492.56x = 2,113,385.58
5. Step 5: Solve for x
   x = 2,113,385.58/1,492.56
6. Step 6: Final answer
   x = 1,415.95