Finding the Fourth Proportional to 2,427.98, 3,642.28 and 784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.98 : 3,642.28 = 784.50 : x
2. Step 2: Convert to fraction form
   2,427.98/3,642.28 = 784.50/x
3. Step 3: Cross multiply
   2,427.98x = 3,642.28 × 784.50
4. Step 4: Simplify right side
   2,427.98x = 2,857,368.66
5. Step 5: Solve for x
   x = 2,857,368.66/2,427.98
6. Step 6: Final answer
   x = 1,176.85