Finding the Fourth Proportional to 1,536.98, 2,307.89 and 1,213.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.98 : 2,307.89 = 1,213.79 : x
2. Step 2: Convert to fraction form
   1,536.98/2,307.89 = 1,213.79/x
3. Step 3: Cross multiply
   1,536.98x = 2,307.89 × 1,213.79
4. Step 4: Simplify right side
   1,536.98x = 2,801,285.30
5. Step 5: Solve for x
   x = 2,801,285.30/1,536.98
6. Step 6: Final answer
   x = 1,822.60