Finding the Fourth Proportional to 1,492.34, 2,059.43 and 820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.34 : 2,059.43 = 820.14 : x
2. Step 2: Convert to fraction form
   1,492.34/2,059.43 = 820.14/x
3. Step 3: Cross multiply
   1,492.34x = 2,059.43 × 820.14
4. Step 4: Simplify right side
   1,492.34x = 1,689,016.82
5. Step 5: Solve for x
   x = 1,689,016.82/1,492.34
6. Step 6: Final answer
   x = 1,131.79