Finding the Fourth Proportional to 1,386.25, 1,912.14 and 826.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.25 : 1,912.14 = 826.34 : x
2. Step 2: Convert to fraction form
   1,386.25/1,912.14 = 826.34/x
3. Step 3: Cross multiply
   1,386.25x = 1,912.14 × 826.34
4. Step 4: Simplify right side
   1,386.25x = 1,580,068.21
5. Step 5: Solve for x
   x = 1,580,068.21/1,386.25
6. Step 6: Final answer
   x = 1,139.82