Finding the Fourth Proportional to 1,564.50, 2,345.17 and 741.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,345.17 = 741.27 : x
2. Step 2: Convert to fraction form
   1,564.50/2,345.17 = 741.27/x
3. Step 3: Cross multiply
   1,564.50x = 2,345.17 × 741.27
4. Step 4: Simplify right side
   1,564.50x = 1,738,404.17
5. Step 5: Solve for x
   x = 1,738,404.17/1,564.50
6. Step 6: Final answer
   x = 1,111.16