Finding the Fourth Proportional to 1,493.06, 2,060.55 and 830.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.06 : 2,060.55 = 830.02 : x
2. Step 2: Convert to fraction form
   1,493.06/2,060.55 = 830.02/x
3. Step 3: Cross multiply
   1,493.06x = 2,060.55 × 830.02
4. Step 4: Simplify right side
   1,493.06x = 1,710,297.71
5. Step 5: Solve for x
   x = 1,710,297.71/1,493.06
6. Step 6: Final answer
   x = 1,145.50