Finding the Fourth Proportional to 800.01, 1,200.56 and 410.00

Step by Step Solution

1. Step 1: Write the proportion equation
   800.01 : 1,200.56 = 410.00 : x
2. Step 2: Convert to fraction form
   800.01/1,200.56 = 410.00/x
3. Step 3: Cross multiply
   800.01x = 1,200.56 × 410.00
4. Step 4: Simplify right side
   800.01x = 492,221.55
5. Step 5: Solve for x
   x = 492,221.55/800.01
6. Step 6: Final answer
   x = 615.27