Finding the Fourth Proportional to 1,857.72, 2,784.90 and 932.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,857.72 : 2,784.90 = 932.78 : x
2. Step 2: Convert to fraction form
   1,857.72/2,784.90 = 932.78/x
3. Step 3: Cross multiply
   1,857.72x = 2,784.90 × 932.78
4. Step 4: Simplify right side
   1,857.72x = 2,597,699.02
5. Step 5: Solve for x
   x = 2,597,699.02/1,857.72
6. Step 6: Final answer
   x = 1,398.33