Finding the Fourth Proportional to 2,185.52, 3,278.76 and 1,536.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.52 : 3,278.76 = 1,536.56 : x
2. Step 2: Convert to fraction form
   2,185.52/3,278.76 = 1,536.56/x
3. Step 3: Cross multiply
   2,185.52x = 3,278.76 × 1,536.56
4. Step 4: Simplify right side
   2,185.52x = 5,038,011.47
5. Step 5: Solve for x
   x = 5,038,011.47/2,185.52
6. Step 6: Final answer
   x = 2,305.18