Finding the Fourth Proportional to 10,032.54, 13,844.68 and 5,783.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032.54 : 13,844.68 = 5,783.55 : x
2. Step 2: Convert to fraction form
   10,032.54/13,844.68 = 5,783.55/x
3. Step 3: Cross multiply
   10,032.54x = 13,844.68 × 5,783.55
4. Step 4: Simplify right side
   10,032.54x = 80,071,399.01
5. Step 5: Solve for x
   x = 80,071,399.01/10,032.54
6. Step 6: Final answer
   x = 7,981.17