Finding the Fourth Proportional to 2,152.64, 2,969.25 and 1,820.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.64 : 2,969.25 = 1,820.54 : x
2. Step 2: Convert to fraction form
   2,152.64/2,969.25 = 1,820.54/x
3. Step 3: Cross multiply
   2,152.64x = 2,969.25 × 1,820.54
4. Step 4: Simplify right side
   2,152.64x = 5,405,638.40
5. Step 5: Solve for x
   x = 5,405,638.40/2,152.64
6. Step 6: Final answer
   x = 2,511.17