Finding the Fourth Proportional to 1,496.72, 2,065.40 and 824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.72 : 2,065.40 = 824.50 : x
2. Step 2: Convert to fraction form
   1,496.72/2,065.40 = 824.50/x
3. Step 3: Cross multiply
   1,496.72x = 2,065.40 × 824.50
4. Step 4: Simplify right side
   1,496.72x = 1,702,925.92
5. Step 5: Solve for x
   x = 1,702,925.92/1,496.72
6. Step 6: Final answer
   x = 1,137.77