Finding the Fourth Proportional to 21,870.83, 32,798.20 and 7,827.05

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870.83 : 32,798.20 = 7,827.05 : x
2. Step 2: Convert to fraction form
   21,870.83/32,798.20 = 7,827.05/x
3. Step 3: Cross multiply
   21,870.83x = 32,798.20 × 7,827.05
4. Step 4: Simplify right side
   21,870.83x = 256,713,151.31
5. Step 5: Solve for x
   x = 256,713,151.31/21,870.83
6. Step 6: Final answer
   x = 11,737.70