Finding the Fourth Proportional to 1,978.35, 2,967.55 and 517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.35 : 2,967.55 = 517.50 : x
2. Step 2: Convert to fraction form
   1,978.35/2,967.55 = 517.50/x
3. Step 3: Cross multiply
   1,978.35x = 2,967.55 × 517.50
4. Step 4: Simplify right side
   1,978.35x = 1,535,707.13
5. Step 5: Solve for x
   x = 1,535,707.13/1,978.35
6. Step 6: Final answer
   x = 776.26