Finding the Fourth Proportional to 10,026.47, 13,836.08 and 5,549.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.47 : 13,836.08 = 5,549.91 : x
2. Step 2: Convert to fraction form
   10,026.47/13,836.08 = 5,549.91/x
3. Step 3: Cross multiply
   10,026.47x = 13,836.08 × 5,549.91
4. Step 4: Simplify right side
   10,026.47x = 76,788,998.75
5. Step 5: Solve for x
   x = 76,788,998.75/10,026.47
6. Step 6: Final answer
   x = 7,658.63