Finding the Fourth Proportional to 1,822.52, 2,734.25 and 524.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.52 : 2,734.25 = 524.00 : x
2. Step 2: Convert to fraction form
   1,822.52/2,734.25 = 524.00/x
3. Step 3: Cross multiply
   1,822.52x = 2,734.25 × 524.00
4. Step 4: Simplify right side
   1,822.52x = 1,432,730.71
5. Step 5: Solve for x
   x = 1,432,730.71/1,822.52
6. Step 6: Final answer
   x = 786.13