Finding the Fourth Proportional to 1,018.42, 1,527.86 and 524.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.42 : 1,527.86 = 524.63 : x
2. Step 2: Convert to fraction form
   1,018.42/1,527.86 = 524.63/x
3. Step 3: Cross multiply
   1,018.42x = 1,527.86 × 524.63
4. Step 4: Simplify right side
   1,018.42x = 801,557.73
5. Step 5: Solve for x
   x = 801,557.73/1,018.42
6. Step 6: Final answer
   x = 787.06