Finding the Fourth Proportional to 3,872.82, 5,810.79 and 1,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.82 : 5,810.79 = 1,564.50 : x
2. Step 2: Convert to fraction form
   3,872.82/5,810.79 = 1,564.50/x
3. Step 3: Cross multiply
   3,872.82x = 5,810.79 × 1,564.50
4. Step 4: Simplify right side
   3,872.82x = 9,090,980.96
5. Step 5: Solve for x
   x = 9,090,980.96/3,872.82
6. Step 6: Final answer
   x = 2,347.38