Finding the Fourth Proportional to 10,062.10, 13,885.04 and 5,585.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.10 : 13,885.04 = 5,585.64 : x
2. Step 2: Convert to fraction form
   10,062.10/13,885.04 = 5,585.64/x
3. Step 3: Cross multiply
   10,062.10x = 13,885.04 × 5,585.64
4. Step 4: Simplify right side
   10,062.10x = 77,556,834.83
5. Step 5: Solve for x
   x = 77,556,834.83/10,062.10
6. Step 6: Final answer
   x = 7,707.82