Finding the Fourth Proportional to 10,259.19, 14,157.45 and 5,783.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.19 : 14,157.45 = 5,783.00 : x
2. Step 2: Convert to fraction form
   10,259.19/14,157.45 = 5,783.00/x
3. Step 3: Cross multiply
   10,259.19x = 14,157.45 × 5,783.00
4. Step 4: Simplify right side
   10,259.19x = 81,872,462.56
5. Step 5: Solve for x
   x = 81,872,462.56/10,259.19
6. Step 6: Final answer
   x = 7,980.40