Finding the Fourth Proportional to 1,415.78, 2,123.71 and 675.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.78 : 2,123.71 = 675.47 : x
2. Step 2: Convert to fraction form
   1,415.78/2,123.71 = 675.47/x
3. Step 3: Cross multiply
   1,415.78x = 2,123.71 × 675.47
4. Step 4: Simplify right side
   1,415.78x = 1,434,488.82
5. Step 5: Solve for x
   x = 1,434,488.82/1,415.78
6. Step 6: Final answer
   x = 1,013.22