Finding the Fourth Proportional to 1,387.30, 1,914.25 and 820.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.30 : 1,914.25 = 820.06 : x
2. Step 2: Convert to fraction form
   1,387.30/1,914.25 = 820.06/x
3. Step 3: Cross multiply
   1,387.30x = 1,914.25 × 820.06
4. Step 4: Simplify right side
   1,387.30x = 1,569,793.02
5. Step 5: Solve for x
   x = 1,569,793.02/1,387.30
6. Step 6: Final answer
   x = 1,131.54