Finding the Fourth Proportional to 830.14, 1,145.82 and 581.52

Step by Step Solution

1. Step 1: Write the proportion equation
   830.14 : 1,145.82 = 581.52 : x
2. Step 2: Convert to fraction form
   830.14/1,145.82 = 581.52/x
3. Step 3: Cross multiply
   830.14x = 1,145.82 × 581.52
4. Step 4: Simplify right side
   830.14x = 666,323.72
5. Step 5: Solve for x
   x = 666,323.72/830.14
6. Step 6: Final answer
   x = 802.67