Finding the Fourth Proportional to 1,082.34, 1,492.04 and 766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.34 : 1,492.04 = 766.63 : x
2. Step 2: Convert to fraction form
   1,082.34/1,492.04 = 766.63/x
3. Step 3: Cross multiply
   1,082.34x = 1,492.04 × 766.63
4. Step 4: Simplify right side
   1,082.34x = 1,143,840.81
5. Step 5: Solve for x
   x = 1,143,840.81/1,082.34
6. Step 6: Final answer
   x = 1,056.82