Finding the Fourth Proportional to 1,536.89, 2,307.65 and 1,227.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.89 : 2,307.65 = 1,227.82 : x
2. Step 2: Convert to fraction form
   1,536.89/2,307.65 = 1,227.82/x
3. Step 3: Cross multiply
   1,536.89x = 2,307.65 × 1,227.82
4. Step 4: Simplify right side
   1,536.89x = 2,833,378.82
5. Step 5: Solve for x
   x = 2,833,378.82/1,536.89
6. Step 6: Final answer
   x = 1,843.59