Finding the Fourth Proportional to 1,053.50, 1,453.86 and 581.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.50 : 1,453.86 = 581.40 : x
2. Step 2: Convert to fraction form
   1,053.50/1,453.86 = 581.40/x
3. Step 3: Cross multiply
   1,053.50x = 1,453.86 × 581.40
4. Step 4: Simplify right side
   1,053.50x = 845,271.30
5. Step 5: Solve for x
   x = 845,271.30/1,053.50
6. Step 6: Final answer
   x = 802.35