Finding the Fourth Proportional to 1,564.98, 2,345.82 and 742.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.98 : 2,345.82 = 742.86 : x
2. Step 2: Convert to fraction form
   1,564.98/2,345.82 = 742.86/x
3. Step 3: Cross multiply
   1,564.98x = 2,345.82 × 742.86
4. Step 4: Simplify right side
   1,564.98x = 1,742,615.85
5. Step 5: Solve for x
   x = 1,742,615.85/1,564.98
6. Step 6: Final answer
   x = 1,113.51