Finding the Fourth Proportional to 10,008.53, 13,810.29 and 5,701.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,008.53 : 13,810.29 = 5,701.66 : x
2. Step 2: Convert to fraction form
   10,008.53/13,810.29 = 5,701.66/x
3. Step 3: Cross multiply
   10,008.53x = 13,810.29 × 5,701.66
4. Step 4: Simplify right side
   10,008.53x = 78,741,480.52
5. Step 5: Solve for x
   x = 78,741,480.52/10,008.53
6. Step 6: Final answer
   x = 7,867.44