Finding the Fourth Proportional to 1,145.23, 1,580.42 and 647.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.23 : 1,580.42 = 647.86 : x
2. Step 2: Convert to fraction form
   1,145.23/1,580.42 = 647.86/x
3. Step 3: Cross multiply
   1,145.23x = 1,580.42 × 647.86
4. Step 4: Simplify right side
   1,145.23x = 1,023,892.62
5. Step 5: Solve for x
   x = 1,023,892.62/1,145.23
6. Step 6: Final answer
   x = 894.05