Finding the Fourth Proportional to 2,769.56, 3,822.10 and 1,510.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.56 : 3,822.10 = 1,510.70 : x
2. Step 2: Convert to fraction form
   2,769.56/3,822.10 = 1,510.70/x
3. Step 3: Cross multiply
   2,769.56x = 3,822.10 × 1,510.70
4. Step 4: Simplify right side
   2,769.56x = 5,774,046.47
5. Step 5: Solve for x
   x = 5,774,046.47/2,769.56
6. Step 6: Final answer
   x = 2,084.82