Finding the Fourth Proportional to 1,985.50, 2,978.22 and 524.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,985.50 : 2,978.22 = 524.62 : x
2. Step 2: Convert to fraction form
   1,985.50/2,978.22 = 524.62/x
3. Step 3: Cross multiply
   1,985.50x = 2,978.22 × 524.62
4. Step 4: Simplify right side
   1,985.50x = 1,562,433.78
5. Step 5: Solve for x
   x = 1,562,433.78/1,985.50
6. Step 6: Final answer
   x = 786.92