Finding the Fourth Proportional to 10,034.54, 13,846.35 and 5,785.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.54 : 13,846.35 = 5,785.76 : x
2. Step 2: Convert to fraction form
   10,034.54/13,846.35 = 5,785.76/x
3. Step 3: Cross multiply
   10,034.54x = 13,846.35 × 5,785.76
4. Step 4: Simplify right side
   10,034.54x = 80,111,657.98
5. Step 5: Solve for x
   x = 80,111,657.98/10,034.54
6. Step 6: Final answer
   x = 7,983.59