Finding the Fourth Proportional to 10,260.55, 14,157.75 and 5,784.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260.55 : 14,157.75 = 5,784.30 : x
2. Step 2: Convert to fraction form
   10,260.55/14,157.75 = 5,784.30/x
3. Step 3: Cross multiply
   10,260.55x = 14,157.75 × 5,784.30
4. Step 4: Simplify right side
   10,260.55x = 81,892,679.80
5. Step 5: Solve for x
   x = 81,892,679.80/10,260.55
6. Step 6: Final answer
   x = 7,981.31