Finding the Fourth Proportional to 10,002.90, 13,802.81 and 5,526.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.90 : 13,802.81 = 5,526.38 : x
2. Step 2: Convert to fraction form
   10,002.90/13,802.81 = 5,526.38/x
3. Step 3: Cross multiply
   10,002.90x = 13,802.81 × 5,526.38
4. Step 4: Simplify right side
   10,002.90x = 76,279,573.13
5. Step 5: Solve for x
   x = 76,279,573.13/10,002.90
6. Step 6: Final answer
   x = 7,625.75