Finding the Fourth Proportional to 1,365.34, 1,884.10 and 835.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.34 : 1,884.10 = 835.10 : x
2. Step 2: Convert to fraction form
   1,365.34/1,884.10 = 835.10/x
3. Step 3: Cross multiply
   1,365.34x = 1,884.10 × 835.10
4. Step 4: Simplify right side
   1,365.34x = 1,573,422.42
5. Step 5: Solve for x
   x = 1,573,422.42/1,365.34
6. Step 6: Final answer
   x = 1,152.41