Finding the Fourth Proportional to 1,493.82, 2,061.50 and 830.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.82 : 2,061.50 = 830.70 : x
2. Step 2: Convert to fraction form
   1,493.82/2,061.50 = 830.70/x
3. Step 3: Cross multiply
   1,493.82x = 2,061.50 × 830.70
4. Step 4: Simplify right side
   1,493.82x = 1,712,483.90
5. Step 5: Solve for x
   x = 1,712,483.90/1,493.82
6. Step 6: Final answer
   x = 1,146.38