Finding the Fourth Proportional to 1,458.50, 2,012.82 and 837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.50 : 2,012.82 = 837.50 : x
2. Step 2: Convert to fraction form
   1,458.50/2,012.82 = 837.50/x
3. Step 3: Cross multiply
   1,458.50x = 2,012.82 × 837.50
4. Step 4: Simplify right side
   1,458.50x = 1,685,736.75
5. Step 5: Solve for x
   x = 1,685,736.75/1,458.50
6. Step 6: Final answer
   x = 1,155.80