Finding the Fourth Proportional to 1,648.42, 2,474.28 and 1,186.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.42 : 2,474.28 = 1,186.72 : x
2. Step 2: Convert to fraction form
   1,648.42/2,474.28 = 1,186.72/x
3. Step 3: Cross multiply
   1,648.42x = 2,474.28 × 1,186.72
4. Step 4: Simplify right side
   1,648.42x = 2,936,277.56
5. Step 5: Solve for x
   x = 2,936,277.56/1,648.42
6. Step 6: Final answer
   x = 1,781.27