Finding the Fourth Proportional to 1,150.17, 1,722.20 and 785.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.17 : 1,722.20 = 785.67 : x
2. Step 2: Convert to fraction form
   1,150.17/1,722.20 = 785.67/x
3. Step 3: Cross multiply
   1,150.17x = 1,722.20 × 785.67
4. Step 4: Simplify right side
   1,150.17x = 1,353,076.95
5. Step 5: Solve for x
   x = 1,353,076.95/1,150.17
6. Step 6: Final answer
   x = 1,176.41