Finding the Fourth Proportional to 1,272.53, 1,906.02 and 784.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,272.53 : 1,906.02 = 784.10 : x
2. Step 2: Convert to fraction form
   1,272.53/1,906.02 = 784.10/x
3. Step 3: Cross multiply
   1,272.53x = 1,906.02 × 784.10
4. Step 4: Simplify right side
   1,272.53x = 1,494,500.75
5. Step 5: Solve for x
   x = 1,494,500.75/1,272.53
6. Step 6: Final answer
   x = 1,174.44