Finding the Fourth Proportional to 1,200.06, 1,800.72 and 469.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.06 : 1,800.72 = 469.85 : x
2. Step 2: Convert to fraction form
   1,200.06/1,800.72 = 469.85/x
3. Step 3: Cross multiply
   1,200.06x = 1,800.72 × 469.85
4. Step 4: Simplify right side
   1,200.06x = 846,059.29
5. Step 5: Solve for x
   x = 846,059.29/1,200.06
6. Step 6: Final answer
   x = 705.01