Finding the Fourth Proportional to 9,779.31, 14,646.38 and 5,875.11

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.31 : 14,646.38 = 5,875.11 : x
2. Step 2: Convert to fraction form
   9,779.31/14,646.38 = 5,875.11/x
3. Step 3: Cross multiply
   9,779.31x = 14,646.38 × 5,875.11
4. Step 4: Simplify right side
   9,779.31x = 86,049,064.23
5. Step 5: Solve for x
   x = 86,049,064.23/9,779.31
6. Step 6: Final answer
   x = 8,799.09