Finding the Fourth Proportional to 1,201.98, 1,803.38 and 585.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.98 : 1,803.38 = 585.57 : x
2. Step 2: Convert to fraction form
   1,201.98/1,803.38 = 585.57/x
3. Step 3: Cross multiply
   1,201.98x = 1,803.38 × 585.57
4. Step 4: Simplify right side
   1,201.98x = 1,056,002.30
5. Step 5: Solve for x
   x = 1,056,002.30/1,201.98
6. Step 6: Final answer
   x = 878.55