Finding the Fourth Proportional to 1,349.68, 1,862.44 and 825.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.68 : 1,862.44 = 825.62 : x
2. Step 2: Convert to fraction form
   1,349.68/1,862.44 = 825.62/x
3. Step 3: Cross multiply
   1,349.68x = 1,862.44 × 825.62
4. Step 4: Simplify right side
   1,349.68x = 1,537,667.71
5. Step 5: Solve for x
   x = 1,537,667.71/1,349.68
6. Step 6: Final answer
   x = 1,139.28