Finding the Fourth Proportional to 1,047.90, 1,569.15 and 830.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.90 : 1,569.15 = 830.10 : x
2. Step 2: Convert to fraction form
   1,047.90/1,569.15 = 830.10/x
3. Step 3: Cross multiply
   1,047.90x = 1,569.15 × 830.10
4. Step 4: Simplify right side
   1,047.90x = 1,302,551.42
5. Step 5: Solve for x
   x = 1,302,551.42/1,047.90
6. Step 6: Final answer
   x = 1,243.01