Finding the Fourth Proportional to 1,200.02, 1,801.05 and 470.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.02 : 1,801.05 = 470.10 : x
2. Step 2: Convert to fraction form
   1,200.02/1,801.05 = 470.10/x
3. Step 3: Cross multiply
   1,200.02x = 1,801.05 × 470.10
4. Step 4: Simplify right side
   1,200.02x = 846,681.24
5. Step 5: Solve for x
   x = 846,681.24/1,200.02
6. Step 6: Final answer
   x = 705.56