Finding the Fourth Proportional to 1,938.78, 2,908.14 and 784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,938.78 : 2,908.14 = 784.50 : x
2. Step 2: Convert to fraction form
   1,938.78/2,908.14 = 784.50/x
3. Step 3: Cross multiply
   1,938.78x = 2,908.14 × 784.50
4. Step 4: Simplify right side
   1,938.78x = 2,281,435.83
5. Step 5: Solve for x
   x = 2,281,435.83/1,938.78
6. Step 6: Final answer
   x = 1,176.74