Finding the Fourth Proportional to 1,003.53, 1,506.38 and 742.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.53 : 1,506.38 = 742.71 : x
2. Step 2: Convert to fraction form
   1,003.53/1,506.38 = 742.71/x
3. Step 3: Cross multiply
   1,003.53x = 1,506.38 × 742.71
4. Step 4: Simplify right side
   1,003.53x = 1,118,799.78
5. Step 5: Solve for x
   x = 1,118,799.78/1,003.53
6. Step 6: Final answer
   x = 1,114.86