Finding the Fourth Proportional to 1,303.80, 1,953.84 and 978.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,303.80 : 1,953.84 = 978.78 : x
2. Step 2: Convert to fraction form
   1,303.80/1,953.84 = 978.78/x
3. Step 3: Cross multiply
   1,303.80x = 1,953.84 × 978.78
4. Step 4: Simplify right side
   1,303.80x = 1,912,379.52
5. Step 5: Solve for x
   x = 1,912,379.52/1,303.80
6. Step 6: Final answer
   x = 1,466.77