Finding the Fourth Proportional to 10,026.06, 13,835.28 and 5,549.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.06 : 13,835.28 = 5,549.40 : x
2. Step 2: Convert to fraction form
   10,026.06/13,835.28 = 5,549.40/x
3. Step 3: Cross multiply
   10,026.06x = 13,835.28 × 5,549.40
4. Step 4: Simplify right side
   10,026.06x = 76,777,502.83
5. Step 5: Solve for x
   x = 76,777,502.83/10,026.06
6. Step 6: Final answer
   x = 7,657.79