Finding the Fourth Proportional to 1,094.86, 1,509.86 and 832.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.86 : 1,509.86 = 832.42 : x
2. Step 2: Convert to fraction form
   1,094.86/1,509.86 = 832.42/x
3. Step 3: Cross multiply
   1,094.86x = 1,509.86 × 832.42
4. Step 4: Simplify right side
   1,094.86x = 1,256,837.66
5. Step 5: Solve for x
   x = 1,256,837.66/1,094.86
6. Step 6: Final answer
   x = 1,147.94