Finding the Fourth Proportional to 1,066.42, 1,470.18 and 829.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.42 : 1,470.18 = 829.63 : x
2. Step 2: Convert to fraction form
   1,066.42/1,470.18 = 829.63/x
3. Step 3: Cross multiply
   1,066.42x = 1,470.18 × 829.63
4. Step 4: Simplify right side
   1,066.42x = 1,219,705.43
5. Step 5: Solve for x
   x = 1,219,705.43/1,066.42
6. Step 6: Final answer
   x = 1,143.74