Finding the Fourth Proportional to 10,032.42, 13,844.46 and 5,783.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032.42 : 13,844.46 = 5,783.40 : x
2. Step 2: Convert to fraction form
   10,032.42/13,844.46 = 5,783.40/x
3. Step 3: Cross multiply
   10,032.42x = 13,844.46 × 5,783.40
4. Step 4: Simplify right side
   10,032.42x = 80,068,049.96
5. Step 5: Solve for x
   x = 80,068,049.96/10,032.42
6. Step 6: Final answer
   x = 7,980.93