Finding the Fourth Proportional to 1,354.77, 1,869.59 and 830.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.77 : 1,869.59 = 830.70 : x
2. Step 2: Convert to fraction form
   1,354.77/1,869.59 = 830.70/x
3. Step 3: Cross multiply
   1,354.77x = 1,869.59 × 830.70
4. Step 4: Simplify right side
   1,354.77x = 1,553,068.41
5. Step 5: Solve for x
   x = 1,553,068.41/1,354.77
6. Step 6: Final answer
   x = 1,146.37