Finding the Fourth Proportional to 1,153.98, 1,593.82 and 840.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.98 : 1,593.82 = 840.65 : x
2. Step 2: Convert to fraction form
   1,153.98/1,593.82 = 840.65/x
3. Step 3: Cross multiply
   1,153.98x = 1,593.82 × 840.65
4. Step 4: Simplify right side
   1,153.98x = 1,339,835.50
5. Step 5: Solve for x
   x = 1,339,835.50/1,153.98
6. Step 6: Final answer
   x = 1,161.06