Finding the Fourth Proportional to 21,870.13, 32,801.68 and 7,827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870.13 : 32,801.68 = 7,827.55 : x
2. Step 2: Convert to fraction form
   21,870.13/32,801.68 = 7,827.55/x
3. Step 3: Cross multiply
   21,870.13x = 32,801.68 × 7,827.55
4. Step 4: Simplify right side
   21,870.13x = 256,756,790.28
5. Step 5: Solve for x
   x = 256,756,790.28/21,870.13
6. Step 6: Final answer
   x = 11,740.07