Finding the Fourth Proportional to 838.85, 1,156.59 and 697.10

Step by Step Solution

1. Step 1: Write the proportion equation
   838.85 : 1,156.59 = 697.10 : x
2. Step 2: Convert to fraction form
   838.85/1,156.59 = 697.10/x
3. Step 3: Cross multiply
   838.85x = 1,156.59 × 697.10
4. Step 4: Simplify right side
   838.85x = 806,258.89
5. Step 5: Solve for x
   x = 806,258.89/838.85
6. Step 6: Final answer
   x = 961.15