Finding the Fourth Proportional to 10,784.88, 16,180.05 and 5,853.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784.88 : 16,180.05 = 5,853.20 : x
2. Step 2: Convert to fraction form
   10,784.88/16,180.05 = 5,853.20/x
3. Step 3: Cross multiply
   10,784.88x = 16,180.05 × 5,853.20
4. Step 4: Simplify right side
   10,784.88x = 94,705,009.71
5. Step 5: Solve for x
   x = 94,705,009.71/10,784.88
6. Step 6: Final answer
   x = 8,781.28