Finding the Fourth Proportional to 9,978.54, 13,767.30 and 5,785.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.54 : 13,767.30 = 5,785.98 : x
2. Step 2: Convert to fraction form
   9,978.54/13,767.30 = 5,785.98/x
3. Step 3: Cross multiply
   9,978.54x = 13,767.30 × 5,785.98
4. Step 4: Simplify right side
   9,978.54x = 79,657,322.45
5. Step 5: Solve for x
   x = 79,657,322.45/9,978.54
6. Step 6: Final answer
   x = 7,982.86