Finding the Fourth Proportional to 1,493.64, 2,061.23 and 830.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.64 : 2,061.23 = 830.57 : x
2. Step 2: Convert to fraction form
   1,493.64/2,061.23 = 830.57/x
3. Step 3: Cross multiply
   1,493.64x = 2,061.23 × 830.57
4. Step 4: Simplify right side
   1,493.64x = 1,711,981.34
5. Step 5: Solve for x
   x = 1,711,981.34/1,493.64
6. Step 6: Final answer
   x = 1,146.18