Finding the Fourth Proportional to 10,000.10, 13,802.06 and 5,754.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000.10 : 13,802.06 = 5,754.02 : x
2. Step 2: Convert to fraction form
   10,000.10/13,802.06 = 5,754.02/x
3. Step 3: Cross multiply
   10,000.10x = 13,802.06 × 5,754.02
4. Step 4: Simplify right side
   10,000.10x = 79,417,231.50
5. Step 5: Solve for x
   x = 79,417,231.50/10,000.10
6. Step 6: Final answer
   x = 7,941.65