Finding the Fourth Proportional to 10,002.79, 13,803.14 and 5,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.79 : 13,803.14 = 5,526.50 : x
2. Step 2: Convert to fraction form
   10,002.79/13,803.14 = 5,526.50/x
3. Step 3: Cross multiply
   10,002.79x = 13,803.14 × 5,526.50
4. Step 4: Simplify right side
   10,002.79x = 76,282,998.01
5. Step 5: Solve for x
   x = 76,282,998.01/10,002.79
6. Step 6: Final answer
   x = 7,626.17