Finding the Fourth Proportional to 10,506.90, 14,499.45 and 5,791.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.90 : 14,499.45 = 5,791.17 : x
2. Step 2: Convert to fraction form
   10,506.90/14,499.45 = 5,791.17/x
3. Step 3: Cross multiply
   10,506.90x = 14,499.45 × 5,791.17
4. Step 4: Simplify right side
   10,506.90x = 83,968,779.86
5. Step 5: Solve for x
   x = 83,968,779.86/10,506.90
6. Step 6: Final answer
   x = 7,991.77