Finding the Fourth Proportional to 1,354.93, 1,869.69 and 830.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.93 : 1,869.69 = 830.86 : x
2. Step 2: Convert to fraction form
   1,354.93/1,869.69 = 830.86/x
3. Step 3: Cross multiply
   1,354.93x = 1,869.69 × 830.86
4. Step 4: Simplify right side
   1,354.93x = 1,553,450.63
5. Step 5: Solve for x
   x = 1,553,450.63/1,354.93
6. Step 6: Final answer
   x = 1,146.52