Finding the Fourth Proportional to 1,678.58, 2,316.34 and 932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.58 : 2,316.34 = 932.50 : x
2. Step 2: Convert to fraction form
   1,678.58/2,316.34 = 932.50/x
3. Step 3: Cross multiply
   1,678.58x = 2,316.34 × 932.50
4. Step 4: Simplify right side
   1,678.58x = 2,159,978.93
5. Step 5: Solve for x
   x = 2,159,978.93/1,678.58
6. Step 6: Final answer
   x = 1,286.79