Finding the Fourth Proportional to 1,365.10, 1,883.70 and 834.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.10 : 1,883.70 = 834.24 : x
2. Step 2: Convert to fraction form
   1,365.10/1,883.70 = 834.24/x
3. Step 3: Cross multiply
   1,365.10x = 1,883.70 × 834.24
4. Step 4: Simplify right side
   1,365.10x = 1,571,457.89
5. Step 5: Solve for x
   x = 1,571,457.89/1,365.10
6. Step 6: Final answer
   x = 1,151.17