Finding the Fourth Proportional to 1,588.14, 2,380.05 and 1,178.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.14 : 2,380.05 = 1,178.82 : x
2. Step 2: Convert to fraction form
   1,588.14/2,380.05 = 1,178.82/x
3. Step 3: Cross multiply
   1,588.14x = 2,380.05 × 1,178.82
4. Step 4: Simplify right side
   1,588.14x = 2,805,650.54
5. Step 5: Solve for x
   x = 2,805,650.54/1,588.14
6. Step 6: Final answer
   x = 1,766.63