Finding the Fourth Proportional to 1,354.52, 1,869.28 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.52 : 1,869.28 = 830.25 : x
2. Step 2: Convert to fraction form
   1,354.52/1,869.28 = 830.25/x
3. Step 3: Cross multiply
   1,354.52x = 1,869.28 × 830.25
4. Step 4: Simplify right side
   1,354.52x = 1,551,967.64
5. Step 5: Solve for x
   x = 1,551,967.64/1,354.52
6. Step 6: Final answer
   x = 1,145.77