Finding the Fourth Proportional to 1,589.31, 2,192.91 and 925.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.31 : 2,192.91 = 925.78 : x
2. Step 2: Convert to fraction form
   1,589.31/2,192.91 = 925.78/x
3. Step 3: Cross multiply
   1,589.31x = 2,192.91 × 925.78
4. Step 4: Simplify right side
   1,589.31x = 2,030,152.22
5. Step 5: Solve for x
   x = 2,030,152.22/1,589.31
6. Step 6: Final answer
   x = 1,277.38