Finding the Fourth Proportional to 1,182.86, 1,631.63 and 784.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.86 : 1,631.63 = 784.53 : x
2. Step 2: Convert to fraction form
   1,182.86/1,631.63 = 784.53/x
3. Step 3: Cross multiply
   1,182.86x = 1,631.63 × 784.53
4. Step 4: Simplify right side
   1,182.86x = 1,280,058.76
5. Step 5: Solve for x
   x = 1,280,058.76/1,182.86
6. Step 6: Final answer
   x = 1,082.18