Finding the Fourth Proportional to 1,191.31, 1,646 and 1,059.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.31 : 1,646 = 1,059.15 : x
2. Step 2: Convert to fraction form
   1,191.31/1,646 = 1,059.15/x
3. Step 3: Cross multiply
   1,191.31x = 1,646 × 1,059.15
4. Step 4: Simplify right side
   1,191.31x = 1,743,360.90
5. Step 5: Solve for x
   x = 1,743,360.90/1,191.31
6. Step 6: Final answer
   x = 1,463.40