Finding the Fourth Proportional to 1,458.70, 2,185.89 and 1,200.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.70 : 2,185.89 = 1,200.53 : x
2. Step 2: Convert to fraction form
   1,458.70/2,185.89 = 1,200.53/x
3. Step 3: Cross multiply
   1,458.70x = 2,185.89 × 1,200.53
4. Step 4: Simplify right side
   1,458.70x = 2,624,227.48
5. Step 5: Solve for x
   x = 2,624,227.48/1,458.70
6. Step 6: Final answer
   x = 1,799.02