Finding the Fourth Proportional to 1,059.60, 1,460.52 and 826.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.60 : 1,460.52 = 826.32 : x
2. Step 2: Convert to fraction form
   1,059.60/1,460.52 = 826.32/x
3. Step 3: Cross multiply
   1,059.60x = 1,460.52 × 826.32
4. Step 4: Simplify right side
   1,059.60x = 1,206,856.89
5. Step 5: Solve for x
   x = 1,206,856.89/1,059.60
6. Step 6: Final answer
   x = 1,138.97