Finding the Fourth Proportional to 1,171.82, 1,624.52 and 1,109.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.82 : 1,624.52 = 1,109.40 : x
2. Step 2: Convert to fraction form
   1,171.82/1,624.52 = 1,109.40/x
3. Step 3: Cross multiply
   1,171.82x = 1,624.52 × 1,109.40
4. Step 4: Simplify right side
   1,171.82x = 1,802,242.49
5. Step 5: Solve for x
   x = 1,802,242.49/1,171.82
6. Step 6: Final answer
   x = 1,537.99