Finding the Fourth Proportional to 1,152.77, 1,590.15 and 837.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.77 : 1,590.15 = 837.67 : x
2. Step 2: Convert to fraction form
   1,152.77/1,590.15 = 837.67/x
3. Step 3: Cross multiply
   1,152.77x = 1,590.15 × 837.67
4. Step 4: Simplify right side
   1,152.77x = 1,332,020.95
5. Step 5: Solve for x
   x = 1,332,020.95/1,152.77
6. Step 6: Final answer
   x = 1,155.50