Finding the Fourth Proportional to 2,565.58, 3,847.95 and 921.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.58 : 3,847.95 = 921.82 : x
2. Step 2: Convert to fraction form
   2,565.58/3,847.95 = 921.82/x
3. Step 3: Cross multiply
   2,565.58x = 3,847.95 × 921.82
4. Step 4: Simplify right side
   2,565.58x = 3,547,117.27
5. Step 5: Solve for x
   x = 3,547,117.27/2,565.58
6. Step 6: Final answer
   x = 1,382.58