Finding the Fourth Proportional to 2,109.76, 3,160.40 and 1,052.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.76 : 3,160.40 = 1,052.38 : x
2. Step 2: Convert to fraction form
   2,109.76/3,160.40 = 1,052.38/x
3. Step 3: Cross multiply
   2,109.76x = 3,160.40 × 1,052.38
4. Step 4: Simplify right side
   2,109.76x = 3,325,941.75
5. Step 5: Solve for x
   x = 3,325,941.75/2,109.76
6. Step 6: Final answer
   x = 1,576.46