Finding the Fourth Proportional to 10,034.90, 13,848.01 and 5,785.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.90 : 13,848.01 = 5,785.97 : x
2. Step 2: Convert to fraction form
   10,034.90/13,848.01 = 5,785.97/x
3. Step 3: Cross multiply
   10,034.90x = 13,848.01 × 5,785.97
4. Step 4: Simplify right side
   10,034.90x = 80,124,086.71
5. Step 5: Solve for x
   x = 80,124,086.71/10,034.90
6. Step 6: Final answer
   x = 7,984.54