Finding the Fourth Proportional to 1,185.77, 1,777.83 and 637.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.77 : 1,777.83 = 637.40 : x
2. Step 2: Convert to fraction form
   1,185.77/1,777.83 = 637.40/x
3. Step 3: Cross multiply
   1,185.77x = 1,777.83 × 637.40
4. Step 4: Simplify right side
   1,185.77x = 1,133,179.95
5. Step 5: Solve for x
   x = 1,133,179.95/1,185.77
6. Step 6: Final answer
   x = 955.65