Finding the Fourth Proportional to 1,200.15, 1,799.60 and 541.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.15 : 1,799.60 = 541.46 : x
2. Step 2: Convert to fraction form
   1,200.15/1,799.60 = 541.46/x
3. Step 3: Cross multiply
   1,200.15x = 1,799.60 × 541.46
4. Step 4: Simplify right side
   1,200.15x = 974,399.71
5. Step 5: Solve for x
   x = 974,399.71/1,200.15
6. Step 6: Final answer
   x = 811.90