Finding the Fourth Proportional to 1,077.49, 1,486.38 and 684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.49 : 1,486.38 = 684.10 : x
2. Step 2: Convert to fraction form
   1,077.49/1,486.38 = 684.10/x
3. Step 3: Cross multiply
   1,077.49x = 1,486.38 × 684.10
4. Step 4: Simplify right side
   1,077.49x = 1,016,832.56
5. Step 5: Solve for x
   x = 1,016,832.56/1,077.49
6. Step 6: Final answer
   x = 943.70