Finding the Fourth Proportional to 1,385.76, 1,912.60 and 826.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.76 : 1,912.60 = 826.32 : x
2. Step 2: Convert to fraction form
   1,385.76/1,912.60 = 826.32/x
3. Step 3: Cross multiply
   1,385.76x = 1,912.60 × 826.32
4. Step 4: Simplify right side
   1,385.76x = 1,580,419.63
5. Step 5: Solve for x
   x = 1,580,419.63/1,385.76
6. Step 6: Final answer
   x = 1,140.47