Finding the Fourth Proportional to 10,026.47, 13,840.18 and 5,834.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.47 : 13,840.18 = 5,834.72 : x
2. Step 2: Convert to fraction form
   10,026.47/13,840.18 = 5,834.72/x
3. Step 3: Cross multiply
   10,026.47x = 13,840.18 × 5,834.72
4. Step 4: Simplify right side
   10,026.47x = 80,753,595.06
5. Step 5: Solve for x
   x = 80,753,595.06/10,026.47
6. Step 6: Final answer
   x = 8,054.04