Finding the Fourth Proportional to 10,030.34, 13,842.02 and 5,779.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,030.34 : 13,842.02 = 5,779.06 : x
2. Step 2: Convert to fraction form
   10,030.34/13,842.02 = 5,779.06/x
3. Step 3: Cross multiply
   10,030.34x = 13,842.02 × 5,779.06
4. Step 4: Simplify right side
   10,030.34x = 79,993,864.10
5. Step 5: Solve for x
   x = 79,993,864.10/10,030.34
6. Step 6: Final answer
   x = 7,975.19