Finding the Fourth Proportional to 10,038.78, 13,853.14 and 5,790.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.78 : 13,853.14 = 5,790.01 : x
2. Step 2: Convert to fraction form
   10,038.78/13,853.14 = 5,790.01/x
3. Step 3: Cross multiply
   10,038.78x = 13,853.14 × 5,790.01
4. Step 4: Simplify right side
   10,038.78x = 80,209,819.13
5. Step 5: Solve for x
   x = 80,209,819.13/10,038.78
6. Step 6: Final answer
   x = 7,990.00