Finding the Fourth Proportional to 1,684.12, 2,323.86 and 975.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.12 : 2,323.86 = 975.37 : x
2. Step 2: Convert to fraction form
   1,684.12/2,323.86 = 975.37/x
3. Step 3: Cross multiply
   1,684.12x = 2,323.86 × 975.37
4. Step 4: Simplify right side
   1,684.12x = 2,266,623.33
5. Step 5: Solve for x
   x = 2,266,623.33/1,684.12
6. Step 6: Final answer
   x = 1,345.88