Finding the Fourth Proportional to 1,493.10, 2,060.52 and 829.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.10 : 2,060.52 = 829.98 : x
2. Step 2: Convert to fraction form
   1,493.10/2,060.52 = 829.98/x
3. Step 3: Cross multiply
   1,493.10x = 2,060.52 × 829.98
4. Step 4: Simplify right side
   1,493.10x = 1,710,190.39
5. Step 5: Solve for x
   x = 1,710,190.39/1,493.10
6. Step 6: Final answer
   x = 1,145.40