Finding the Fourth Proportional to 1,492.82, 2,060.22 and 829.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.82 : 2,060.22 = 829.80 : x
2. Step 2: Convert to fraction form
   1,492.82/2,060.22 = 829.80/x
3. Step 3: Cross multiply
   1,492.82x = 2,060.22 × 829.80
4. Step 4: Simplify right side
   1,492.82x = 1,709,570.56
5. Step 5: Solve for x
   x = 1,709,570.56/1,492.82
6. Step 6: Final answer
   x = 1,145.20