Finding the Fourth Proportional to 1,538.76, 2,124.15 and 1,066.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.76 : 2,124.15 = 1,066.56 : x
2. Step 2: Convert to fraction form
   1,538.76/2,124.15 = 1,066.56/x
3. Step 3: Cross multiply
   1,538.76x = 2,124.15 × 1,066.56
4. Step 4: Simplify right side
   1,538.76x = 2,265,533.42
5. Step 5: Solve for x
   x = 2,265,533.42/1,538.76
6. Step 6: Final answer
   x = 1,472.31