Finding the Fourth Proportional to 2,774.96, 3,829.42 and 1,516.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,774.96 : 3,829.42 = 1,516.01 : x
2. Step 2: Convert to fraction form
   2,774.96/3,829.42 = 1,516.01/x
3. Step 3: Cross multiply
   2,774.96x = 3,829.42 × 1,516.01
4. Step 4: Simplify right side
   2,774.96x = 5,805,412.29
5. Step 5: Solve for x
   x = 5,805,412.29/2,774.96
6. Step 6: Final answer
   x = 2,092.07