Finding the Fourth Proportional to 9,812.16, 13,542.74 and 5,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.16 : 13,542.74 = 5,832.50 : x
2. Step 2: Convert to fraction form
   9,812.16/13,542.74 = 5,832.50/x
3. Step 3: Cross multiply
   9,812.16x = 13,542.74 × 5,832.50
4. Step 4: Simplify right side
   9,812.16x = 78,987,934.17
5. Step 5: Solve for x
   x = 78,987,934.17/9,812.16
6. Step 6: Final answer
   x = 8,050.00