Finding the Fourth Proportional to 1,053.86, 1,454.34 and 581.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.86 : 1,454.34 = 581.78 : x
2. Step 2: Convert to fraction form
   1,053.86/1,454.34 = 581.78/x
3. Step 3: Cross multiply
   1,053.86x = 1,454.34 × 581.78
4. Step 4: Simplify right side
   1,053.86x = 846,098.65
5. Step 5: Solve for x
   x = 846,098.65/1,053.86
6. Step 6: Final answer
   x = 802.86