Finding the Fourth Proportional to 1,538.37, 2,123.15 and 1,407.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.37 : 2,123.15 = 1,407.15 : x
2. Step 2: Convert to fraction form
   1,538.37/2,123.15 = 1,407.15/x
3. Step 3: Cross multiply
   1,538.37x = 2,123.15 × 1,407.15
4. Step 4: Simplify right side
   1,538.37x = 2,987,583.49
5. Step 5: Solve for x
   x = 2,987,583.49/1,538.37
6. Step 6: Final answer
   x = 1,942.04