Finding the Fourth Proportional to 10,026.06, 13,835.61 and 5,549.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.06 : 13,835.61 = 5,549.82 : x
2. Step 2: Convert to fraction form
   10,026.06/13,835.61 = 5,549.82/x
3. Step 3: Cross multiply
   10,026.06x = 13,835.61 × 5,549.82
4. Step 4: Simplify right side
   10,026.06x = 76,785,145.09
5. Step 5: Solve for x
   x = 76,785,145.09/10,026.06
6. Step 6: Final answer
   x = 7,658.56