Finding the Fourth Proportional to 10,026.66, 13,827.33 and 7,480.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.66 : 13,827.33 = 7,480.05 : x
2. Step 2: Convert to fraction form
   10,026.66/13,827.33 = 7,480.05/x
3. Step 3: Cross multiply
   10,026.66x = 13,827.33 × 7,480.05
4. Step 4: Simplify right side
   10,026.66x = 103,429,119.77
5. Step 5: Solve for x
   x = 103,429,119.77/10,026.66
6. Step 6: Final answer
   x = 10,315.41