Finding the Fourth Proportional to 1,182.42, 1,772.73 and 524.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.42 : 1,772.73 = 524.07 : x
2. Step 2: Convert to fraction form
   1,182.42/1,772.73 = 524.07/x
3. Step 3: Cross multiply
   1,182.42x = 1,772.73 × 524.07
4. Step 4: Simplify right side
   1,182.42x = 929,034.61
5. Step 5: Solve for x
   x = 929,034.61/1,182.42
6. Step 6: Final answer
   x = 785.71