Finding the Fourth Proportional to 1,185.84, 1,637.01 and 688.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.84 : 1,637.01 = 688.30 : x
2. Step 2: Convert to fraction form
   1,185.84/1,637.01 = 688.30/x
3. Step 3: Cross multiply
   1,185.84x = 1,637.01 × 688.30
4. Step 4: Simplify right side
   1,185.84x = 1,126,749.89
5. Step 5: Solve for x
   x = 1,126,749.89/1,185.84
6. Step 6: Final answer
   x = 950.17