Finding the Fourth Proportional to 11,328.66, 16,978.14 and 5,783.40

Step by Step Solution

1. Step 1: Write the proportion equation
   11,328.66 : 16,978.14 = 5,783.40 : x
2. Step 2: Convert to fraction form
   11,328.66/16,978.14 = 5,783.40/x
3. Step 3: Cross multiply
   11,328.66x = 16,978.14 × 5,783.40
4. Step 4: Simplify right side
   11,328.66x = 98,191,374.88
5. Step 5: Solve for x
   x = 98,191,374.88/11,328.66
6. Step 6: Final answer
   x = 8,667.52