Finding the Fourth Proportional to 1,353.12, 1,867.17 and 785.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.12 : 1,867.17 = 785.87 : x
2. Step 2: Convert to fraction form
   1,353.12/1,867.17 = 785.87/x
3. Step 3: Cross multiply
   1,353.12x = 1,867.17 × 785.87
4. Step 4: Simplify right side
   1,353.12x = 1,467,352.89
5. Step 5: Solve for x
   x = 1,467,352.89/1,353.12
6. Step 6: Final answer
   x = 1,084.42