Finding the Fourth Proportional to 2,564.58, 3,847.06 and 875.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.58 : 3,847.06 = 875.30 : x
2. Step 2: Convert to fraction form
   2,564.58/3,847.06 = 875.30/x
3. Step 3: Cross multiply
   2,564.58x = 3,847.06 × 875.30
4. Step 4: Simplify right side
   2,564.58x = 3,367,331.62
5. Step 5: Solve for x
   x = 3,367,331.62/2,564.58
6. Step 6: Final answer
   x = 1,313.01