Finding the Fourth Proportional to 1,123.91, 1,685.90 and 546.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.91 : 1,685.90 = 546.65 : x
2. Step 2: Convert to fraction form
   1,123.91/1,685.90 = 546.65/x
3. Step 3: Cross multiply
   1,123.91x = 1,685.90 × 546.65
4. Step 4: Simplify right side
   1,123.91x = 921,590.17
5. Step 5: Solve for x
   x = 921,590.17/1,123.91
6. Step 6: Final answer
   x = 819.99