Finding the Fourth Proportional to 1,184.10, 1,633.91 and 705.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.10 : 1,633.91 = 705.49 : x
2. Step 2: Convert to fraction form
   1,184.10/1,633.91 = 705.49/x
3. Step 3: Cross multiply
   1,184.10x = 1,633.91 × 705.49
4. Step 4: Simplify right side
   1,184.10x = 1,152,707.17
5. Step 5: Solve for x
   x = 1,152,707.17/1,184.10
6. Step 6: Final answer
   x = 973.49