Finding the Fourth Proportional to 21,870.77, 32,802.51 and 7,827.80

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870.77 : 32,802.51 = 7,827.80 : x
2. Step 2: Convert to fraction form
   21,870.77/32,802.51 = 7,827.80/x
3. Step 3: Cross multiply
   21,870.77x = 32,802.51 × 7,827.80
4. Step 4: Simplify right side
   21,870.77x = 256,771,487.78
5. Step 5: Solve for x
   x = 256,771,487.78/21,870.77
6. Step 6: Final answer
   x = 11,740.40