Finding the Fourth Proportional to 1,538.22, 2,123.62 and 1,015.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.22 : 2,123.62 = 1,015.77 : x
2. Step 2: Convert to fraction form
   1,538.22/2,123.62 = 1,015.77/x
3. Step 3: Cross multiply
   1,538.22x = 2,123.62 × 1,015.77
4. Step 4: Simplify right side
   1,538.22x = 2,157,109.49
5. Step 5: Solve for x
   x = 2,157,109.49/1,538.22
6. Step 6: Final answer
   x = 1,402.34