Finding the Fourth Proportional to 1,061.84, 1,467.24 and 830.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.84 : 1,467.24 = 830.72 : x
2. Step 2: Convert to fraction form
   1,061.84/1,467.24 = 830.72/x
3. Step 3: Cross multiply
   1,061.84x = 1,467.24 × 830.72
4. Step 4: Simplify right side
   1,061.84x = 1,218,865.61
5. Step 5: Solve for x
   x = 1,218,865.61/1,061.84
6. Step 6: Final answer
   x = 1,147.88