Finding the Fourth Proportional to 1,181.78, 1,630.86 and 657.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.78 : 1,630.86 = 657.82 : x
2. Step 2: Convert to fraction form
   1,181.78/1,630.86 = 657.82/x
3. Step 3: Cross multiply
   1,181.78x = 1,630.86 × 657.82
4. Step 4: Simplify right side
   1,181.78x = 1,072,804.17
5. Step 5: Solve for x
   x = 1,072,804.17/1,181.78
6. Step 6: Final answer
   x = 907.79