Finding the Fourth Proportional to 2,084.16, 3,127.32 and 1,511.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.16 : 3,127.32 = 1,511.76 : x
2. Step 2: Convert to fraction form
   2,084.16/3,127.32 = 1,511.76/x
3. Step 3: Cross multiply
   2,084.16x = 3,127.32 × 1,511.76
4. Step 4: Simplify right side
   2,084.16x = 4,727,757.28
5. Step 5: Solve for x
   x = 4,727,757.28/2,084.16
6. Step 6: Final answer
   x = 2,268.42