Finding the Fourth Proportional to 1,184.14, 1,633.69 and 705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.14 : 1,633.69 = 705.50 : x
2. Step 2: Convert to fraction form
   1,184.14/1,633.69 = 705.50/x
3. Step 3: Cross multiply
   1,184.14x = 1,633.69 × 705.50
4. Step 4: Simplify right side
   1,184.14x = 1,152,564.49
5. Step 5: Solve for x
   x = 1,152,564.49/1,184.14
6. Step 6: Final answer
   x = 973.33