Finding the Fourth Proportional to 2,765.34, 3,816.13 and 1,506.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.34 : 3,816.13 = 1,506.41 : x
2. Step 2: Convert to fraction form
   2,765.34/3,816.13 = 1,506.41/x
3. Step 3: Cross multiply
   2,765.34x = 3,816.13 × 1,506.41
4. Step 4: Simplify right side
   2,765.34x = 5,748,649.69
5. Step 5: Solve for x
   x = 5,748,649.69/2,765.34
6. Step 6: Final answer
   x = 2,078.82