Finding the Fourth Proportional to 1,349.67, 1,862.69 and 826.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.67 : 1,862.69 = 826.05 : x
2. Step 2: Convert to fraction form
   1,349.67/1,862.69 = 826.05/x
3. Step 3: Cross multiply
   1,349.67x = 1,862.69 × 826.05
4. Step 4: Simplify right side
   1,349.67x = 1,538,670.94
5. Step 5: Solve for x
   x = 1,538,670.94/1,349.67
6. Step 6: Final answer
   x = 1,140.03