Finding the Fourth Proportional to 10,506.83, 14,499.29 and 5,791.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.83 : 14,499.29 = 5,791.01 : x
2. Step 2: Convert to fraction form
   10,506.83/14,499.29 = 5,791.01/x
3. Step 3: Cross multiply
   10,506.83x = 14,499.29 × 5,791.01
4. Step 4: Simplify right side
   10,506.83x = 83,965,431.93
5. Step 5: Solve for x
   x = 83,965,431.93/10,506.83
6. Step 6: Final answer
   x = 7,991.51