Finding the Fourth Proportional to 9,140.10, 12,607.56 and 5,781.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.10 : 12,607.56 = 5,781.84 : x
2. Step 2: Convert to fraction form
   9,140.10/12,607.56 = 5,781.84/x
3. Step 3: Cross multiply
   9,140.10x = 12,607.56 × 5,781.84
4. Step 4: Simplify right side
   9,140.10x = 72,894,894.71
5. Step 5: Solve for x
   x = 72,894,894.71/9,140.10
6. Step 6: Final answer
   x = 7,975.28