Finding the Fourth Proportional to 10,404.18, 15,602.83 and 5,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.18 : 15,602.83 = 5,206.50 : x
2. Step 2: Convert to fraction form
   10,404.18/15,602.83 = 5,206.50/x
3. Step 3: Cross multiply
   10,404.18x = 15,602.83 × 5,206.50
4. Step 4: Simplify right side
   10,404.18x = 81,236,134.40
5. Step 5: Solve for x
   x = 81,236,134.40/10,404.18
6. Step 6: Final answer
   x = 7,808.03