Finding the Fourth Proportional to 9,151.74, 12,624.74 and 5,788.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,151.74 : 12,624.74 = 5,788.90 : x
2. Step 2: Convert to fraction form
   9,151.74/12,624.74 = 5,788.90/x
3. Step 3: Cross multiply
   9,151.74x = 12,624.74 × 5,788.90
4. Step 4: Simplify right side
   9,151.74x = 73,083,357.39
5. Step 5: Solve for x
   x = 73,083,357.39/9,151.74
6. Step 6: Final answer
   x = 7,985.73