Finding the Fourth Proportional to 10,259.52, 14,157.60 and 5,783.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.52 : 14,157.60 = 5,783.28 : x
2. Step 2: Convert to fraction form
   10,259.52/14,157.60 = 5,783.28/x
3. Step 3: Cross multiply
   10,259.52x = 14,157.60 × 5,783.28
4. Step 4: Simplify right side
   10,259.52x = 81,877,364.93
5. Step 5: Solve for x
   x = 81,877,364.93/10,259.52
6. Step 6: Final answer
   x = 7,980.62