Finding the Fourth Proportional to 10,026.86, 15,041.62 and 3,785

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.86 : 15,041.62 = 3,785 : x
2. Step 2: Convert to fraction form
   10,026.86/15,041.62 = 3,785/x
3. Step 3: Cross multiply
   10,026.86x = 15,041.62 × 3,785
4. Step 4: Simplify right side
   10,026.86x = 56,932,531.70
5. Step 5: Solve for x
   x = 56,932,531.70/10,026.86
6. Step 6: Final answer
   x = 5,678.00