Finding the Fourth Proportional to 1,086.18, 1,630.02 and 470.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.18 : 1,630.02 = 470.46 : x
2. Step 2: Convert to fraction form
   1,086.18/1,630.02 = 470.46/x
3. Step 3: Cross multiply
   1,086.18x = 1,630.02 × 470.46
4. Step 4: Simplify right side
   1,086.18x = 766,859.21
5. Step 5: Solve for x
   x = 766,859.21/1,086.18
6. Step 6: Final answer
   x = 706.01