Finding the Fourth Proportional to 1,123.74, 1,684.80 and 575.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.74 : 1,684.80 = 575.51 : x
2. Step 2: Convert to fraction form
   1,123.74/1,684.80 = 575.51/x
3. Step 3: Cross multiply
   1,123.74x = 1,684.80 × 575.51
4. Step 4: Simplify right side
   1,123.74x = 969,610.82
5. Step 5: Solve for x
   x = 969,610.82/1,123.74
6. Step 6: Final answer
   x = 862.84