Finding the Fourth Proportional to 2,737.16, 4,105.32 and 1,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,737.16 : 4,105.32 = 1,005.38 : x
2. Step 2: Convert to fraction form
   2,737.16/4,105.32 = 1,005.38/x
3. Step 3: Cross multiply
   2,737.16x = 4,105.32 × 1,005.38
4. Step 4: Simplify right side
   2,737.16x = 4,127,386.10
5. Step 5: Solve for x
   x = 4,127,386.10/2,737.16
6. Step 6: Final answer
   x = 1,507.91