Finding the Fourth Proportional to 1,588.78, 2,380.73 and 938.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.78 : 2,380.73 = 938.82 : x
2. Step 2: Convert to fraction form
   1,588.78/2,380.73 = 938.82/x
3. Step 3: Cross multiply
   1,588.78x = 2,380.73 × 938.82
4. Step 4: Simplify right side
   1,588.78x = 2,235,076.94
5. Step 5: Solve for x
   x = 2,235,076.94/1,588.78
6. Step 6: Final answer
   x = 1,406.79