Finding the Fourth Proportional to 1,537.47, 2,123.97 and 1,420.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.47 : 2,123.97 = 1,420.83 : x
2. Step 2: Convert to fraction form
   1,537.47/2,123.97 = 1,420.83/x
3. Step 3: Cross multiply
   1,537.47x = 2,123.97 × 1,420.83
4. Step 4: Simplify right side
   1,537.47x = 3,017,800.30
5. Step 5: Solve for x
   x = 3,017,800.30/1,537.47
6. Step 6: Final answer
   x = 1,962.84