Finding the Fourth Proportional to 2,377.38, 3,564.72 and 916.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.38 : 3,564.72 = 916.14 : x
2. Step 2: Convert to fraction form
   2,377.38/3,564.72 = 916.14/x
3. Step 3: Cross multiply
   2,377.38x = 3,564.72 × 916.14
4. Step 4: Simplify right side
   2,377.38x = 3,265,782.58
5. Step 5: Solve for x
   x = 3,265,782.58/2,377.38
6. Step 6: Final answer
   x = 1,373.69