Finding the Fourth Proportional to 1,493.32, 2,060.64 and 830.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.32 : 2,060.64 = 830.20 : x
2. Step 2: Convert to fraction form
   1,493.32/2,060.64 = 830.20/x
3. Step 3: Cross multiply
   1,493.32x = 2,060.64 × 830.20
4. Step 4: Simplify right side
   1,493.32x = 1,710,743.33
5. Step 5: Solve for x
   x = 1,710,743.33/1,493.32
6. Step 6: Final answer
   x = 1,145.60