Finding the Fourth Proportional to 10,032.96, 13,845.45 and 5,784.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032.96 : 13,845.45 = 5,784.00 : x
2. Step 2: Convert to fraction form
   10,032.96/13,845.45 = 5,784.00/x
3. Step 3: Cross multiply
   10,032.96x = 13,845.45 × 5,784.00
4. Step 4: Simplify right side
   10,032.96x = 80,082,052.57
5. Step 5: Solve for x
   x = 80,082,052.57/10,032.96
6. Step 6: Final answer
   x = 7,981.89