Finding the Fourth Proportional to 1,415.84, 2,123.46 and 1,003.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.84 : 2,123.46 = 1,003.82 : x
2. Step 2: Convert to fraction form
   1,415.84/2,123.46 = 1,003.82/x
3. Step 3: Cross multiply
   1,415.84x = 2,123.46 × 1,003.82
4. Step 4: Simplify right side
   1,415.84x = 2,131,571.62
5. Step 5: Solve for x
   x = 2,131,571.62/1,415.84
6. Step 6: Final answer
   x = 1,505.52