Finding the Fourth Proportional to 1,178.76, 1,766.84 and 592.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.76 : 1,766.84 = 592.82 : x
2. Step 2: Convert to fraction form
   1,178.76/1,766.84 = 592.82/x
3. Step 3: Cross multiply
   1,178.76x = 1,766.84 × 592.82
4. Step 4: Simplify right side
   1,178.76x = 1,047,418.09
5. Step 5: Solve for x
   x = 1,047,418.09/1,178.76
6. Step 6: Final answer
   x = 888.58