Finding the Fourth Proportional to 2,736.84, 4,102.80 and 1,005.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,736.84 : 4,102.80 = 1,005.12 : x
2. Step 2: Convert to fraction form
   2,736.84/4,102.80 = 1,005.12/x
3. Step 3: Cross multiply
   2,736.84x = 4,102.80 × 1,005.12
4. Step 4: Simplify right side
   2,736.84x = 4,123,806.34
5. Step 5: Solve for x
   x = 4,123,806.34/2,736.84
6. Step 6: Final answer
   x = 1,506.78