Finding the Fourth Proportional to 1,538.86, 2,308.28 and 564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.86 : 2,308.28 = 564.72 : x
2. Step 2: Convert to fraction form
   1,538.86/2,308.28 = 564.72/x
3. Step 3: Cross multiply
   1,538.86x = 2,308.28 × 564.72
4. Step 4: Simplify right side
   1,538.86x = 1,303,531.88
5. Step 5: Solve for x
   x = 1,303,531.88/1,538.86
6. Step 6: Final answer
   x = 847.08