Finding the Fourth Proportional to 1,564.52, 2,345.63 and 742.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.52 : 2,345.63 = 742.30 : x
2. Step 2: Convert to fraction form
   1,564.52/2,345.63 = 742.30/x
3. Step 3: Cross multiply
   1,564.52x = 2,345.63 × 742.30
4. Step 4: Simplify right side
   1,564.52x = 1,741,151.57
5. Step 5: Solve for x
   x = 1,741,151.57/1,564.52
6. Step 6: Final answer
   x = 1,112.90