Finding the Fourth Proportional to 1,156.77, 1,596.34 and 659.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156.77 : 1,596.34 = 659.41 : x
2. Step 2: Convert to fraction form
   1,156.77/1,596.34 = 659.41/x
3. Step 3: Cross multiply
   1,156.77x = 1,596.34 × 659.41
4. Step 4: Simplify right side
   1,156.77x = 1,052,642.56
5. Step 5: Solve for x
   x = 1,052,642.56/1,156.77
6. Step 6: Final answer
   x = 909.98