Finding the Fourth Proportional to 1,538.78, 2,308.82 and 1,045.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.78 : 2,308.82 = 1,045.74 : x
2. Step 2: Convert to fraction form
   1,538.78/2,308.82 = 1,045.74/x
3. Step 3: Cross multiply
   1,538.78x = 2,308.82 × 1,045.74
4. Step 4: Simplify right side
   1,538.78x = 2,414,425.43
5. Step 5: Solve for x
   x = 2,414,425.43/1,538.78
6. Step 6: Final answer
   x = 1,569.05