Finding the Fourth Proportional to 1,978.32, 2,964.78 and 1,156.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.32 : 2,964.78 = 1,156.80 : x
2. Step 2: Convert to fraction form
   1,978.32/2,964.78 = 1,156.80/x
3. Step 3: Cross multiply
   1,978.32x = 2,964.78 × 1,156.80
4. Step 4: Simplify right side
   1,978.32x = 3,429,657.50
5. Step 5: Solve for x
   x = 3,429,657.50/1,978.32
6. Step 6: Final answer
   x = 1,733.62