Finding the Fourth Proportional to 1,389.55, 1,917.55 and 830.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.55 : 1,917.55 = 830.14 : x
2. Step 2: Convert to fraction form
   1,389.55/1,917.55 = 830.14/x
3. Step 3: Cross multiply
   1,389.55x = 1,917.55 × 830.14
4. Step 4: Simplify right side
   1,389.55x = 1,591,837.68
5. Step 5: Solve for x
   x = 1,591,837.68/1,389.55
6. Step 6: Final answer
   x = 1,145.58