Finding the Fourth Proportional to 1,141.89, 1,575.78 and 637.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.89 : 1,575.78 = 637.74 : x
2. Step 2: Convert to fraction form
   1,141.89/1,575.78 = 637.74/x
3. Step 3: Cross multiply
   1,141.89x = 1,575.78 × 637.74
4. Step 4: Simplify right side
   1,141.89x = 1,004,937.94
5. Step 5: Solve for x
   x = 1,004,937.94/1,141.89
6. Step 6: Final answer
   x = 880.07