Finding the Fourth Proportional to 1,111.06, 1,531.98 and 830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.06 : 1,531.98 = 830.82 : x
2. Step 2: Convert to fraction form
   1,111.06/1,531.98 = 830.82/x
3. Step 3: Cross multiply
   1,111.06x = 1,531.98 × 830.82
4. Step 4: Simplify right side
   1,111.06x = 1,272,799.62
5. Step 5: Solve for x
   x = 1,272,799.62/1,111.06
6. Step 6: Final answer
   x = 1,145.57