Finding the Fourth Proportional to 1,780.29, 2,456.70 and 1,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.29 : 2,456.70 = 1,117.50 : x
2. Step 2: Convert to fraction form
   1,780.29/2,456.70 = 1,117.50/x
3. Step 3: Cross multiply
   1,780.29x = 2,456.70 × 1,117.50
4. Step 4: Simplify right side
   1,780.29x = 2,745,362.25
5. Step 5: Solve for x
   x = 2,745,362.25/1,780.29
6. Step 6: Final answer
   x = 1,542.09