Finding the Fourth Proportional to 1,153.94, 1,592.34 and 656.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.94 : 1,592.34 = 656.42 : x
2. Step 2: Convert to fraction form
   1,153.94/1,592.34 = 656.42/x
3. Step 3: Cross multiply
   1,153.94x = 1,592.34 × 656.42
4. Step 4: Simplify right side
   1,153.94x = 1,045,243.82
5. Step 5: Solve for x
   x = 1,045,243.82/1,153.94
6. Step 6: Final answer
   x = 905.80