Finding the Fourth Proportional to 1,094.68, 1,642.38 and 684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.68 : 1,642.38 = 684.10 : x
2. Step 2: Convert to fraction form
   1,094.68/1,642.38 = 684.10/x
3. Step 3: Cross multiply
   1,094.68x = 1,642.38 × 684.10
4. Step 4: Simplify right side
   1,094.68x = 1,123,552.16
5. Step 5: Solve for x
   x = 1,123,552.16/1,094.68
6. Step 6: Final answer
   x = 1,026.37