Finding the Fourth Proportional to 1,347.42, 1,859.31 and 823.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,347.42 : 1,859.31 = 823.98 : x
2. Step 2: Convert to fraction form
   1,347.42/1,859.31 = 823.98/x
3. Step 3: Cross multiply
   1,347.42x = 1,859.31 × 823.98
4. Step 4: Simplify right side
   1,347.42x = 1,532,034.25
5. Step 5: Solve for x
   x = 1,532,034.25/1,347.42
6. Step 6: Final answer
   x = 1,137.01