Finding the Fourth Proportional to 1,171.57, 1,624.17 and 1,109.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.57 : 1,624.17 = 1,109.15 : x
2. Step 2: Convert to fraction form
   1,171.57/1,624.17 = 1,109.15/x
3. Step 3: Cross multiply
   1,171.57x = 1,624.17 × 1,109.15
4. Step 4: Simplify right side
   1,171.57x = 1,801,448.16
5. Step 5: Solve for x
   x = 1,801,448.16/1,171.57
6. Step 6: Final answer
   x = 1,537.64