Finding the Fourth Proportional to 1,164.75, 1,607.54 and 698.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.75 : 1,607.54 = 698.91 : x
2. Step 2: Convert to fraction form
   1,164.75/1,607.54 = 698.91/x
3. Step 3: Cross multiply
   1,164.75x = 1,607.54 × 698.91
4. Step 4: Simplify right side
   1,164.75x = 1,123,522.29
5. Step 5: Solve for x
   x = 1,123,522.29/1,164.75
6. Step 6: Final answer
   x = 964.60