Finding the Fourth Proportional to 10,259.56, 14,157.84 and 5,783.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.56 : 14,157.84 = 5,783.44 : x
2. Step 2: Convert to fraction form
   10,259.56/14,157.84 = 5,783.44/x
3. Step 3: Cross multiply
   10,259.56x = 14,157.84 × 5,783.44
4. Step 4: Simplify right side
   10,259.56x = 81,881,018.17
5. Step 5: Solve for x
   x = 81,881,018.17/10,259.56
6. Step 6: Final answer
   x = 7,980.95