Finding the Fourth Proportional to 1,123.35, 1,684.24 and 498.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.35 : 1,684.24 = 498.31 : x
2. Step 2: Convert to fraction form
   1,123.35/1,684.24 = 498.31/x
3. Step 3: Cross multiply
   1,123.35x = 1,684.24 × 498.31
4. Step 4: Simplify right side
   1,123.35x = 839,268.18
5. Step 5: Solve for x
   x = 839,268.18/1,123.35
6. Step 6: Final answer
   x = 747.11