Finding the Fourth Proportional to 1,164.42, 1,742.27 and 694.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.42 : 1,742.27 = 694.17 : x
2. Step 2: Convert to fraction form
   1,164.42/1,742.27 = 694.17/x
3. Step 3: Cross multiply
   1,164.42x = 1,742.27 × 694.17
4. Step 4: Simplify right side
   1,164.42x = 1,209,428.10
5. Step 5: Solve for x
   x = 1,209,428.10/1,164.42
6. Step 6: Final answer
   x = 1,038.66