Finding the Fourth Proportional to 1,123.64, 1,683.51 and 1,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.64 : 1,683.51 = 1,009.50 : x
2. Step 2: Convert to fraction form
   1,123.64/1,683.51 = 1,009.50/x
3. Step 3: Cross multiply
   1,123.64x = 1,683.51 × 1,009.50
4. Step 4: Simplify right side
   1,123.64x = 1,699,503.35
5. Step 5: Solve for x
   x = 1,699,503.35/1,123.64
6. Step 6: Final answer
   x = 1,512.50