Finding the Fourth Proportional to 1,345.86, 1,857.51 and 822.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.86 : 1,857.51 = 822.24 : x
2. Step 2: Convert to fraction form
   1,345.86/1,857.51 = 822.24/x
3. Step 3: Cross multiply
   1,345.86x = 1,857.51 × 822.24
4. Step 4: Simplify right side
   1,345.86x = 1,527,319.02
5. Step 5: Solve for x
   x = 1,527,319.02/1,345.86
6. Step 6: Final answer
   x = 1,134.83