Finding the Fourth Proportional to 2,501.39, 3,749.23 and 1,564.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.39 : 3,749.23 = 1,564.76 : x
2. Step 2: Convert to fraction form
   2,501.39/3,749.23 = 1,564.76/x
3. Step 3: Cross multiply
   2,501.39x = 3,749.23 × 1,564.76
4. Step 4: Simplify right side
   2,501.39x = 5,866,637.31
5. Step 5: Solve for x
   x = 5,866,637.31/2,501.39
6. Step 6: Final answer
   x = 2,345.35