Finding the Fourth Proportional to 10,062.04, 13,884.14 and 5,585.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.04 : 13,884.14 = 5,585.83 : x
2. Step 2: Convert to fraction form
   10,062.04/13,884.14 = 5,585.83/x
3. Step 3: Cross multiply
   10,062.04x = 13,884.14 × 5,585.83
4. Step 4: Simplify right side
   10,062.04x = 77,554,445.74
5. Step 5: Solve for x
   x = 77,554,445.74/10,062.04
6. Step 6: Final answer
   x = 7,707.63