Finding the Fourth Proportional to 1,402.56, 1,935.62 and 805.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.56 : 1,935.62 = 805.12 : x
2. Step 2: Convert to fraction form
   1,402.56/1,935.62 = 805.12/x
3. Step 3: Cross multiply
   1,402.56x = 1,935.62 × 805.12
4. Step 4: Simplify right side
   1,402.56x = 1,558,406.37
5. Step 5: Solve for x
   x = 1,558,406.37/1,402.56
6. Step 6: Final answer
   x = 1,111.12