Finding the Fourth Proportional to 1,536.54, 2,301.84 and 949.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.54 : 2,301.84 = 949.82 : x
2. Step 2: Convert to fraction form
   1,536.54/2,301.84 = 949.82/x
3. Step 3: Cross multiply
   1,536.54x = 2,301.84 × 949.82
4. Step 4: Simplify right side
   1,536.54x = 2,186,333.67
5. Step 5: Solve for x
   x = 2,186,333.67/1,536.54
6. Step 6: Final answer
   x = 1,422.89