Finding the Fourth Proportional to 10,642.64, 14,686.71 and 5,862.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.64 : 14,686.71 = 5,862.47 : x
2. Step 2: Convert to fraction form
   10,642.64/14,686.71 = 5,862.47/x
3. Step 3: Cross multiply
   10,642.64x = 14,686.71 × 5,862.47
4. Step 4: Simplify right side
   10,642.64x = 86,100,323.34
5. Step 5: Solve for x
   x = 86,100,323.34/10,642.64
6. Step 6: Final answer
   x = 8,090.13